89406760 has 64 divisors (see below), whose sum is σ = 206977680. Its totient is φ = 34744320.

The previous prime is 89406719. The next prime is 89406769. The reversal of 89406760 is 6760498.

It can be written as a sum of positive squares in 8 ways, for example, as 9375844 + 80030916 = 3062^2 + 8946^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (89406769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383604 + ... + 383836.

Almost surely, 2^89406760 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 89406760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488840).

89406760 is an abundant number, since it is smaller than the sum of its proper divisors (117570920).

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

89406760 is a wasteful number, since it uses less digits than its factorization.

89406760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 89406760 is about 9455.5147929661. The cubic root of 89406760 is about 447.1536556333.

The spelling of 89406760 in words is "eighty-nine million, four hundred six thousand, seven hundred sixty".