88862400 has 504 divisors, whose sum is σ = 377007120. Its totient is φ = 20275200.

The previous prime is 88862387. The next prime is 88862413. The reversal of 88862400 is 426888.

It is an interprime number because it is at equal distance from previous prime (88862387) and next prime (88862413).

It is a super-2 number, since 2×88862400² = 15793052267520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5227192 + ... + 5227208.

It is an arithmetic number, because the mean of its divisors is an integer number (748030).

Almost surely, 2^88862400 is an apocalyptic number.

88862400 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 88862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188503560).

88862400 is an abundant number, since it is smaller than the sum of its proper divisors (288144720).

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

88862400 is a wasteful number, since it uses less digits than its factorization.

88862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

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

The square root of 88862400 is about 9426.6855256766. The cubic root of 88862400 is about 446.2442976462.

The spelling of 88862400 in words is "eighty-eight million, eight hundred sixty-two thousand, four hundred".