88826400 has 324 divisors, whose sum is σ = 343817838. Its totient is φ = 21565440.

The previous prime is 88826399. The next prime is 88826401. The reversal of 88826400 is 462888.

88826400 is a `hidden beast` number, since 8 + 8 + 8 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (88826399) and next prime (88826401).

It can be written as a sum of positive squares in 9 ways, for example, as 992016 + 87834384 = 996^2 + 9372^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88826401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1216764 + ... + 1216836.

Almost surely, 2^88826400 is an apocalyptic number.

88826400 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 88826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171908919).

88826400 is an abundant number, since it is smaller than the sum of its proper divisors (254991438).

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

88826400 is a wasteful number, since it uses less digits than its factorization.

88826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88826400 is about 9424.7758594038. The cubic root of 88826400 is about 446.1840285688.

The spelling of 88826400 in words is "eighty-eight million, eight hundred twenty-six thousand, four hundred".