83633064 has 32 divisors (see below), whose sum is σ = 221382720. Its totient is φ = 26237696.

The previous prime is 83633059. The next prime is 83633089. The reversal of 83633064 is 46033638.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102084 + ... + 102899.

It is an arithmetic number, because the mean of its divisors is an integer number (6918210).

Almost surely, 2^83633064 is an apocalyptic number.

It is an amenable number.

83633064 is an abundant number, since it is smaller than the sum of its proper divisors (137749656).

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

83633064 is a wasteful number, since it uses less digits than its factorization.

83633064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205009 (or 205005 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 83633064 is about 9145.1114810045. Note that the first 3 decimals coincide. The cubic root of 83633064 is about 437.3132834808.

The spelling of 83633064 in words is "eighty-three million, six hundred thirty-three thousand, sixty-four".