83677264 has 40 divisors (see below), whose sum is σ = 187273728. Its totient is φ = 35796480.

The previous prime is 83677261. The next prime is 83677283. The reversal of 83677264 is 46277638.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83677264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83677261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10992 + ... + 16975.

Almost surely, 2^83677264 is an apocalyptic number.

It is an amenable number.

83677264 is an abundant number, since it is smaller than the sum of its proper divisors (103596464).

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

83677264 is a wasteful number, since it uses less digits than its factorization.

83677264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28003 (or 27997 counting only the distinct ones).

The product of its digits is 338688, while the sum is 43.

The square root of 83677264 is about 9147.5277534425. The cubic root of 83677264 is about 437.3903098068.

The spelling of 83677264 in words is "eighty-three million, six hundred seventy-seven thousand, two hundred sixty-four".