89316864 has 320 divisors, whose sum is σ = 329978880. Its totient is φ = 23224320.

The previous prime is 89316863. The next prime is 89316869. The reversal of 89316864 is 46861398.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89316863) 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 31 ways as a sum of consecutive naturals, for example, 1257949 + ... + 1258019.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^89316864 is an apocalyptic number.

89316864 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 89316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

89316864 is an abundant number, since it is smaller than the sum of its proper divisors (240662016).

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

89316864 is a wasteful number, since it uses less digits than its factorization.

89316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 89316864 is about 9450.7599694416. The cubic root of 89316864 is about 447.0037385391.

The spelling of 89316864 in words is "eighty-nine million, three hundred sixteen thousand, eight hundred sixty-four".