88948800 has 336 divisors, whose sum is σ = 340156800. Its totient is φ = 22579200.

The previous prime is 88948793. The next prime is 88948801. The reversal of 88948800 is 884988.

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

It is not an unprimeable number, because it can be changed into a prime (88948801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252765 + ... + 1252835.

Almost surely, 2^88948800 is an apocalyptic number.

88948800 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 88948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

88948800 is an abundant number, since it is smaller than the sum of its proper divisors (251208000).

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

88948800 is a wasteful number, since it uses less digits than its factorization.

88948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 88948800 is about 9431.2671471017. The cubic root of 88948800 is about 446.3888770497.

The spelling of 88948800 in words is "eighty-eight million, nine hundred forty-eight thousand, eight hundred".