83715632 has 80 divisors (see below), whose sum is σ = 217819392. Its totient is φ = 30101760.

The previous prime is 83715617. The next prime is 83715637. The reversal of 83715632 is 23651738.

It is a junction number, because it is equal to n+sod(n) for n = 83715592 and 83715601.

It is not an unprimeable number, because it can be changed into a prime (83715637) 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, 13403 + ... + 18629.

Almost surely, 2^83715632 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 83715632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108909696).

83715632 is an abundant number, since it is smaller than the sum of its proper divisors (134103760).

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

83715632 is a wasteful number, since it uses less digits than its factorization.

83715632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5260 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 83715632 is about 9149.6246917565. The cubic root of 83715632 is about 437.4571508511.

The spelling of 83715632 in words is "eighty-three million, seven hundred fifteen thousand, six hundred thirty-two".