89256000 has 112 divisors (see below), whose sum is σ = 294802560. Its totient is φ = 23795200.

The previous prime is 89255983. The next prime is 89256043. The reversal of 89256000 is 65298.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22141 + ... + 25859.

Almost surely, 2^89256000 is an apocalyptic number.

89256000 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 89256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147401280).

89256000 is an abundant number, since it is smaller than the sum of its proper divisors (205546560).

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

89256000 is a wasteful number, since it uses less digits than its factorization.

89256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 89256000 is about 9447.5393621831. The cubic root of 89256000 is about 446.9021801976.

The spelling of 89256000 in words is "eighty-nine million, two hundred fifty-six thousand".