83630064 has 180 divisors, whose sum is σ = 266703912. Its totient is φ = 22498560.

The previous prime is 83630051. The next prime is 83630083. The reversal of 83630064 is 46003638.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2260254 + ... + 2260290.

Almost surely, 2^83630064 is an apocalyptic number.

83630064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133351956).

83630064 is an abundant number, since it is smaller than the sum of its proper divisors (183073848).

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

83630064 is a wasteful number, since it uses less digits than its factorization.

83630064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 83630064 is about 9144.9474574762. The cubic root of 83630064 is about 437.3080544662.

The spelling of 83630064 in words is "eighty-three million, six hundred thirty thousand, sixty-four".