89556480 has 360 divisors, whose sum is σ = 350455248. Its totient is φ = 21086208.

The previous prime is 89556433. The next prime is 89556491. The reversal of 89556480 is 8465598.

89556480 is a `hidden beast` number, since 8 + 9 + 5 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893749 + ... + 3893771.

Almost surely, 2^89556480 is an apocalyptic number.

89556480 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 89556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175227624).

89556480 is an abundant number, since it is smaller than the sum of its proper divisors (260898768).

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

89556480 is a wasteful number, since it uses less digits than its factorization.

89556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 89556480 is about 9463.4285541763. The cubic root of 89556480 is about 447.4031166729.

It can be divided in two parts, 895 and 56480, that added together give a palindrome (57375).

The spelling of 89556480 in words is "eighty-nine million, five hundred fifty-six thousand, four hundred eighty".