88764200 has 192 divisors, whose sum is σ = 257126400. Its totient is φ = 27820800.

The previous prime is 88764197. The next prime is 88764209. The reversal of 88764200 is 246788.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88764209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250165 + ... + 1250235.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^88764200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88764200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

88764200 is an abundant number, since it is smaller than the sum of its proper divisors (168362200).

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

88764200 is a wasteful number, since it uses less digits than its factorization.

88764200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 88764200 is about 9421.4754683117. The cubic root of 88764200 is about 446.0798586112.

The spelling of 88764200 in words is "eighty-eight million, seven hundred sixty-four thousand, two hundred".