4081632 has 96 divisors (see below), whose sum is σ = 11811744. Its totient is φ = 1228800.

The previous prime is 4081613. The next prime is 4081657. The reversal of 4081632 is 2361804.

It is a happy number.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66882 + ... + 66942.

It is an arithmetic number, because the mean of its divisors is an integer number (123039).

Almost surely, 2^4081632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905872).

4081632 is an abundant number, since it is smaller than the sum of its proper divisors (7730112).

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

4081632 is a wasteful number, since it uses less digits than its factorization.

4081632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4081632 is about 2020.3049274800. The cubic root of 4081632 is about 159.8126974883.

It can be divided in two parts, 408 and 1632, that multiplied together give a square (665856 = 816²).

The spelling of 4081632 in words is "four million, eighty-one thousand, six hundred thirty-two".