89404560 has 320 divisors, whose sum is σ = 361167360. Its totient is φ = 20155392.

The previous prime is 89404517. The next prime is 89404561. The reversal of 89404560 is 6540498.

89404560 is a `hidden beast` number, since 8 + 94 + 0 + 4 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (89404561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224684 + ... + 1224756.

It is an arithmetic number, because the mean of its divisors is an integer number (1128648).

Almost surely, 2^89404560 is an apocalyptic number.

89404560 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 89404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180583680).

89404560 is an abundant number, since it is smaller than the sum of its proper divisors (271762800).

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

89404560 is an equidigital number, since it uses as much as digits as its factorization.

89404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 89404560 is about 9455.3984580239. The cubic root of 89404560 is about 447.1499879534.

The spelling of 89404560 in words is "eighty-nine million, four hundred four thousand, five hundred sixty".