89792064 has 70 divisors (see below), whose sum is σ = 266187174. Its totient is φ = 29928960.

The previous prime is 89792063. The next prime is 89792099. The reversal of 89792064 is 46029798.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68558400 + 21233664 = 8280^2 + 4608^2 .

It is a super-2 number, since 2×89792064² = 16125229514760192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89792063) 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 9 ways as a sum of consecutive naturals, for example, 3477 + ... + 13844.

Almost surely, 2^89792064 is an apocalyptic number.

It is an amenable number.

89792064 is an abundant number, since it is smaller than the sum of its proper divisors (176395110).

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

89792064 is a wasteful number, since it uses less digits than its factorization.

89792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17345 (or 17326 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 89792064 is about 9475.8674536952. The cubic root of 89792064 is about 447.7950806020.

The spelling of 89792064 in words is "eighty-nine million, seven hundred ninety-two thousand, sixty-four".