89609856 has 256 divisors, whose sum is σ = 301397760. Its totient is φ = 23003136.

The previous prime is 89609843. The next prime is 89609867. The reversal of 89609856 is 65890698.

It is a Harshad number since it is a multiple of its sum of digits (51).

89609856 is a modest number, since divided by 9856 gives 8960 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 89609799 and 89609808.

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, 1690726 + ... + 1690778.

It is an arithmetic number, because the mean of its divisors is an integer number (1177335).

Almost surely, 2^89609856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).

89609856 is an abundant number, since it is smaller than the sum of its proper divisors (211787904).

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

89609856 is a wasteful number, since it uses less digits than its factorization.

89609856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 89609856 is about 9466.2482536642. The cubic root of 89609856 is about 447.4919836688.

The spelling of 89609856 in words is "eighty-nine million, six hundred nine thousand, eight hundred fifty-six".