83921632 has 48 divisors (see below), whose sum is σ = 176117760. Its totient is φ = 39249792.

The previous prime is 83921627. The next prime is 83921647. The reversal of 83921632 is 23612938.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49633 + ... + 51295.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^83921632 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 83921632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

83921632 is an abundant number, since it is smaller than the sum of its proper divisors (92196128).

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

83921632 is a wasteful number, since it uses less digits than its factorization.

83921632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1767 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 83921632 is about 9160.8750673721. The cubic root of 83921632 is about 437.8156755184.

The spelling of 83921632 in words is "eighty-three million, nine hundred twenty-one thousand, six hundred thirty-two".