16681632 has 48 divisors (see below), whose sum is σ = 47773152. Its totient is φ = 5054720.

The previous prime is 16681597. The next prime is 16681633. The reversal of 16681632 is 23618661.

16681632 is digitally balanced in base 2, because in such base 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16681593 and 16681602.

It is not an unprimeable number, because it can be changed into a prime (16681633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6843 + ... + 8954.

It is an arithmetic number, because the mean of its divisors is an integer number (995274).

Almost surely, 2^16681632 is an apocalyptic number.

16681632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16681632 is an abundant number, since it is smaller than the sum of its proper divisors (31091520).

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

16681632 is a wasteful number, since it uses less digits than its factorization.

16681632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15821 (or 15813 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 16681632 is about 4084.3153649051. The cubic root of 16681632 is about 255.5129084334.

The spelling of 16681632 in words is "sixteen million, six hundred eighty-one thousand, six hundred thirty-two".