89306064 has 50 divisors (see below), whose sum is σ = 258481410. Its totient is φ = 29768256.

The previous prime is 89306059. The next prime is 89306093. The reversal of 89306064 is 46060398.

It can be written as a sum of positive squares in only one way, i.e., 82955664 + 6350400 = 9108^2 + 2520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 33159 + ... + 35750.

Almost surely, 2^89306064 is an apocalyptic number.

It is an amenable number.

89306064 is an abundant number, since it is smaller than the sum of its proper divisors (169175346).

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

89306064 is a wasteful number, since it uses less digits than its factorization.

89306064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68929 (or 68914 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 89306064 is about 9450.1885695472. The cubic root of 89306064 is about 446.9857209078.

It can be divided in two parts, 89 and 306064, that added together give a triangular number (306153 = T₇₈₂).

The spelling of 89306064 in words is "eighty-nine million, three hundred six thousand, sixty-four".