88956000 has 288 divisors, whose sum is σ = 361827648. Its totient is φ = 20275200.

The previous prime is 88955987. The next prime is 88956017. The reversal of 88956000 is 65988.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251824 + ... + 252176.

It is an arithmetic number, because the mean of its divisors is an integer number (1256346).

Almost surely, 2^88956000 is an apocalyptic number.

88956000 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 88956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180913824).

88956000 is an abundant number, since it is smaller than the sum of its proper divisors (272871648).

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

88956000 is a wasteful number, since it uses less digits than its factorization.

88956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 88956000 is about 9431.6488484252. The cubic root of 88956000 is about 446.4009211065.

The spelling of 88956000 in words is "eighty-eight million, nine hundred fifty-six thousand".