89041920 has 352 divisors, whose sum is σ = 339572736. Its totient is φ = 19660800.

The previous prime is 89041913. The next prime is 89041957. The reversal of 89041920 is 2914098.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2872305 + ... + 2872335.

Almost surely, 2^89041920 is an apocalyptic number.

89041920 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 89041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169786368).

89041920 is an abundant number, since it is smaller than the sum of its proper divisors (250530816).

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

89041920 is a wasteful number, since it uses less digits than its factorization.

89041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 89041920 is about 9436.2026260567. The cubic root of 89041920 is about 446.5445967258.

The spelling of 89041920 in words is "eighty-nine million, forty-one thousand, nine hundred twenty".