89515440 has 120 divisors (see below), whose sum is σ = 343588128. Its totient is φ = 20459520.

The previous prime is 89515429. The next prime is 89515457. The reversal of 89515440 is 4451598.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 89515395 and 89515404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3841 + ... + 13920.

Almost surely, 2^89515440 is an apocalyptic number.

89515440 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 89515440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171794064).

89515440 is an abundant number, since it is smaller than the sum of its proper divisors (254072688).

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

89515440 is a wasteful number, since it uses less digits than its factorization.

89515440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17787 (or 17778 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 89515440 is about 9461.2599583776. The cubic root of 89515440 is about 447.3347641674.

The spelling of 89515440 in words is "eighty-nine million, five hundred fifteen thousand, four hundred forty".