88264800 has 432 divisors, whose sum is σ = 358289568. Its totient is φ = 20275200.

The previous prime is 88264789. The next prime is 88264819. The reversal of 88264800 is 846288.

88264800 is a `hidden beast` number, since 8 + 8 + 2 + 648 + 0 + 0 = 666.

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

It is a congruent number.

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, 2152780 + ... + 2152820.

It is an arithmetic number, because the mean of its divisors is an integer number (829374).

Almost surely, 2^88264800 is an apocalyptic number.

88264800 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 88264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

88264800 is an abundant number, since it is smaller than the sum of its proper divisors (270024768).

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

88264800 is a wasteful number, since it uses less digits than its factorization.

88264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 87 counting only the distinct ones).

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

The square root of 88264800 is about 9394.9348055215. The cubic root of 88264800 is about 445.2417152495.

It can be divided in two parts, 882 and 64800, that multiplied together give a square (57153600 = 7560²).

The spelling of 88264800 in words is "eighty-eight million, two hundred sixty-four thousand, eight hundred".