88806400 has 66 divisors (see below), whose sum is σ = 220195790. Its totient is φ = 35512320.

The previous prime is 88806373. The next prime is 88806407. The reversal of 88806400 is 460888.

It can be written as a sum of positive squares in 3 ways, for example, as 295936 + 88510464 = 544^2 + 9408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88806407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23866 + ... + 27334.

Almost surely, 2^88806400 is an apocalyptic number.

88806400 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 88806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110097895).

88806400 is an abundant number, since it is smaller than the sum of its proper divisors (131389390).

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

88806400 is a wasteful number, since it uses less digits than its factorization.

88806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3476 counting only the distinct ones).

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

The square root of 88806400 is about 9423.7147664814. The cubic root of 88806400 is about 446.1505387114.

The spelling of 88806400 in words is "eighty-eight million, eight hundred six thousand, four hundred".