89617920 has 160 divisors (see below), whose sum is σ = 327621888. Its totient is φ = 20471808.

The previous prime is 89617907. The next prime is 89617921. The reversal of 89617920 is 2971698.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89617921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52927 + ... + 54593.

Almost surely, 2^89617920 is an apocalyptic number.

89617920 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 89617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163810944).

89617920 is an abundant number, since it is smaller than the sum of its proper divisors (238003968).

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

89617920 is a wasteful number, since it uses less digits than its factorization.

89617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 89617920 is about 9466.6741784008. The cubic root of 89617920 is about 447.5054065491.

The spelling of 89617920 in words is "eighty-nine million, six hundred seventeen thousand, nine hundred twenty".