89387520 has 160 divisors (see below), whose sum is σ = 291088512. Its totient is φ = 23396352.

The previous prime is 89387491. The next prime is 89387563. The reversal of 89387520 is 2578398.

It is a tau number, because it is divible by the number of its divisors (160).

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, 790984 + ... + 791096.

Almost surely, 2^89387520 is an apocalyptic number.

89387520 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 89387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544256).

89387520 is an abundant number, since it is smaller than the sum of its proper divisors (201700992).

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

89387520 is a wasteful number, since it uses less digits than its factorization.

89387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 89387520 is about 9454.4973425349. The cubic root of 89387520 is about 447.1215780680.

The spelling of 89387520 in words is "eighty-nine million, three hundred eighty-seven thousand, five hundred twenty".