89475120 has 240 divisors, whose sum is σ = 352602432. Its totient is φ = 19906560.

The previous prime is 89475107. The next prime is 89475143. The reversal of 89475120 is 2157498.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206424 + ... + 206856.

Almost surely, 2^89475120 is an apocalyptic number.

89475120 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 89475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

89475120 is an abundant number, since it is smaller than the sum of its proper divisors (263127312).

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

89475120 is a wasteful number, since it uses less digits than its factorization.

89475120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 89475120 is about 9459.1289239549. The cubic root of 89475120 is about 447.2675904805.

The spelling of 89475120 in words is "eighty-nine million, four hundred seventy-five thousand, one hundred twenty".