88896000 has 160 divisors (see below), whose sum is σ = 296195328. Its totient is φ = 23654400.

The previous prime is 88895957. The next prime is 88896019. The reversal of 88896000 is 69888.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 88896000.

It is a congruent number.

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, 191769 + ... + 192231.

Almost surely, 2^88896000 is an apocalyptic number.

88896000 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 88896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148097664).

88896000 is an abundant number, since it is smaller than the sum of its proper divisors (207299328).

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

88896000 is an equidigital number, since it uses as much as digits as its factorization.

88896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 88896000 is about 9428.4675318951. The cubic root of 88896000 is about 446.3005341010.

The spelling of 88896000 in words is "eighty-eight million, eight hundred ninety-six thousand".