88982400 has 384 divisors, whose sum is σ = 339978240. Its totient is φ = 20275200.

The previous prime is 88982363. The next prime is 88982417. The reversal of 88982400 is 428988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2870385 + ... + 2870415.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 2^88982400 is an apocalyptic number.

88982400 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 88982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

88982400 is an abundant number, since it is smaller than the sum of its proper divisors (250995840).

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

88982400 is a wasteful number, since it uses less digits than its factorization.

88982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 88982400 is about 9433.0482878018. The cubic root of 88982400 is about 446.4450770888.

The spelling of 88982400 in words is "eighty-eight million, nine hundred eighty-two thousand, four hundred".