83496564 has 72 divisors (see below), whose sum is σ = 226044000. Its totient is φ = 25907904.

The previous prime is 83496563. The next prime is 83496577. The reversal of 83496564 is 46569438.

83496564 is a `hidden beast` number, since 83 + 4 + 9 + 6 + 564 = 666.

It is a super-3 number, since 3×83496564³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83496563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39322 + ... + 41390.

It is an arithmetic number, because the mean of its divisors is an integer number (3139500).

Almost surely, 2^83496564 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 83496564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113022000).

83496564 is an abundant number, since it is smaller than the sum of its proper divisors (142547436).

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

83496564 is a wasteful number, since it uses less digits than its factorization.

83496564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2152 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 83496564 is about 9137.6454297592. The cubic root of 83496564 is about 437.0752366066.

The spelling of 83496564 in words is "eighty-three million, four hundred ninety-six thousand, five hundred sixty-four".