83628640 has 24 divisors (see below), whose sum is σ = 197573040. Its totient is φ = 33451392.

The previous prime is 83628613. The next prime is 83628641. The reversal of 83628640 is 4682638.

It is a self number, because there is not a number n which added to its sum of digits gives 83628640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83628641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261180 + ... + 261499.

It is an arithmetic number, because the mean of its divisors is an integer number (8232210).

Almost surely, 2^83628640 is an apocalyptic number.

83628640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83628640 is an abundant number, since it is smaller than the sum of its proper divisors (113944400).

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

83628640 is a wasteful number, since it uses less digits than its factorization.

83628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522694 (or 522686 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 83628640 is about 9144.8695999451. The cubic root of 83628640 is about 437.3055723835.

The spelling of 83628640 in words is "eighty-three million, six hundred twenty-eight thousand, six hundred forty".