88425600 has 192 divisors, whose sum is σ = 297986880. Its totient is φ = 23040000.

The previous prime is 88425599. The next prime is 88425607. The reversal of 88425600 is 652488.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (88425607) 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, 585525 + ... + 585675.

It is an arithmetic number, because the mean of its divisors is an integer number (1552015).

Almost surely, 2^88425600 is an apocalyptic number.

88425600 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 88425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148993440).

88425600 is an abundant number, since it is smaller than the sum of its proper divisors (209561280).

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

88425600 is a wasteful number, since it uses less digits than its factorization.

88425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 88425600 is about 9403.4887143017. The cubic root of 88425600 is about 445.5119303099.

The spelling of 88425600 in words is "eighty-eight million, four hundred twenty-five thousand, six hundred".