88460800 has 60 divisors (see below), whose sum is σ = 219200256. Its totient is φ = 35379200.

The previous prime is 88460791. The next prime is 88460857. The reversal of 88460800 is 806488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9345 + ... + 16255.

Almost surely, 2^88460800 is an apocalyptic number.

88460800 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 88460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109600128).

88460800 is an abundant number, since it is smaller than the sum of its proper divisors (130739456).

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

88460800 is an equidigital number, since it uses as much as digits as its factorization.

88460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6939 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 88460800 is about 9405.3601738583. The cubic root of 88460800 is about 445.5710381532.

The spelling of 88460800 in words is "eighty-eight million, four hundred sixty thousand, eight hundred".