89135640 has 320 divisors, whose sum is σ = 340290720. Its totient is φ = 20736000.

The previous prime is 89135617. The next prime is 89135659. The reversal of 89135640 is 4653198.

89135640 is a `hidden beast` number, since 8 + 9 + 1 + 3 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 89135595 and 89135604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1461210 + ... + 1461270.

Almost surely, 2^89135640 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 89135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145360).

89135640 is an abundant number, since it is smaller than the sum of its proper divisors (251155080).

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

89135640 is a wasteful number, since it uses less digits than its factorization.

89135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 89135640 is about 9441.1673007102. The cubic root of 89135640 is about 446.7012101697.

The spelling of 89135640 in words is "eighty-nine million, one hundred thirty-five thousand, six hundred forty".