16081632 has 96 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 4593024.

The previous prime is 16081603. The next prime is 16081633. The reversal of 16081632 is 23618061.

16081632 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

16081632 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 16081596 and 16081605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16081633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4719 + ... + 7377.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 2^16081632 is an apocalyptic number.

16081632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16081632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

16081632 is an abundant number, since it is smaller than the sum of its proper divisors (37543968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16081632 is a wasteful number, since it uses less digits than its factorization.

16081632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16081632 is about 4010.1910178943. The cubic root of 16081632 is about 252.4120243785.

Adding to 16081632 its reverse (23618061), we get a palindrome (39699693).

It can be divided in two parts, 1608 and 1632, that added together give a triangular number (3240 = T₈₀).

The spelling of 16081632 in words is "sixteen million, eighty-one thousand, six hundred thirty-two".