89311680 has 112 divisors (see below), whose sum is σ = 315102240. Its totient is φ = 23814144.

The previous prime is 89311669. The next prime is 89311699. The reversal of 89311680 is 8611398.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3472 + ... + 13808.

Almost surely, 2^89311680 is an apocalyptic number.

89311680 is a gapful number since it is divisible by the number (80) 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 89311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157551120).

89311680 is an abundant number, since it is smaller than the sum of its proper divisors (225790560).

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

89311680 is a wasteful number, since it uses less digits than its factorization.

89311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 89311680 is about 9450.4857018039. The cubic root of 89311680 is about 446.9950902573.

The spelling of 89311680 in words is "eighty-nine million, three hundred eleven thousand, six hundred eighty".