89415936 has 81 divisors (see below), whose sum is σ = 259123501. Its totient is φ = 29654016.

The previous prime is 89415901. The next prime is 89415947. The reversal of 89415936 is 63951498.

It is a happy number.

The square root of 89415936 is 9456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87609600 + 1806336 = 9360^2 + 1344^2 .

It is a super-2 number, since 2×89415936² = 15990419221512192, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 89415891 and 89415900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 453790 + ... + 453986.

Almost surely, 2^89415936 is an apocalyptic number.

89415936 is the 9456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89415936

89415936 is an abundant number, since it is smaller than the sum of its proper divisors (169707565).

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

89415936 is an equidigital number, since it uses as much as digits as its factorization.

89415936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 202 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The cubic root of 89415936 is about 447.1689525437.

It can be divided in two parts, 89 and 415936, that added together give a square (416025 = 645²).

The spelling of 89415936 in words is "eighty-nine million, four hundred fifteen thousand, nine hundred thirty-six".