88718400 has 252 divisors, whose sum is σ = 323668644. Its totient is φ = 23040000.

The previous prime is 88718381. The next prime is 88718401. The reversal of 88718400 is 481788.

It can be written as a sum of positive squares in 6 ways, for example, as 2005056 + 86713344 = 1416^2 + 9312^2 .

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 (88718401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 878350 + ... + 878450.

Almost surely, 2^88718400 is an apocalyptic number.

88718400 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 88718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161834322).

88718400 is an abundant number, since it is smaller than the sum of its proper divisors (234950244).

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

88718400 is a wasteful number, since it uses less digits than its factorization.

88718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 88718400 is about 9419.0445375314. The cubic root of 88718400 is about 446.0031235747.

It can be divided in two parts, 8871 and 8400, that added together give a palindrome (17271).

The spelling of 88718400 in words is "eighty-eight million, seven hundred eighteen thousand, four hundred".