83618964 has 144 divisors (see below), whose sum is σ = 255615360. Its totient is φ = 22705920.

The previous prime is 83618939. The next prime is 83619013. The reversal of 83618964 is 46981638.

It is a super-2 number, since 2×83618964² = 13984262280866592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190257 + ... + 190695.

Almost surely, 2^83618964 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 83618964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127807680).

83618964 is an abundant number, since it is smaller than the sum of its proper divisors (171996396).

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

83618964 is a wasteful number, since it uses less digits than its factorization.

83618964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 505 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 83618964 is about 9144.3405448397. The cubic root of 83618964 is about 437.2887060248.

The spelling of 83618964 in words is "eighty-three million, six hundred eighteen thousand, nine hundred sixty-four".