89256960 has 264 divisors, whose sum is σ = 335298600. Its totient is φ = 21823488.

The previous prime is 89256917. The next prime is 89256961. The reversal of 89256960 is 6965298.

89256960 is a `hidden beast` number, since 89 + 2 + 569 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 88510464 = 864^2 + 9408^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89256961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598966 + ... + 599114.

Almost surely, 2^89256960 is an apocalyptic number.

89256960 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 89256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167649300).

89256960 is an abundant number, since it is smaller than the sum of its proper divisors (246041640).

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

89256960 is a wasteful number, since it uses less digits than its factorization.

89256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 89256960 is about 9447.5901689267. The cubic root of 89256960 is about 446.9037824225.

It can be divided in two parts, 89 and 256960, that added together give a square (257049 = 507²).

The spelling of 89256960 in words is "eighty-nine million, two hundred fifty-six thousand, nine hundred sixty".