88387200 has 480 divisors, whose sum is σ = 367297920. Its totient is φ = 20736000.

The previous prime is 88387193. The next prime is 88387207. The reversal of 88387200 is 278388.

It is an interprime number because it is at equal distance from previous prime (88387193) and next prime (88387207).

It is a tau number, because it is divible by the number of its divisors (480).

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 (88387207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2851185 + ... + 2851215.

It is an arithmetic number, because the mean of its divisors is an integer number (765204).

Almost surely, 2^88387200 is an apocalyptic number.

88387200 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 88387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

88387200 is an abundant number, since it is smaller than the sum of its proper divisors (278910720).

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

88387200 is a wasteful number, since it uses less digits than its factorization.

88387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 88387200 is about 9401.4466971844. The cubic root of 88387200 is about 445.4474311335.

The spelling of 88387200 in words is "eighty-eight million, three hundred eighty-seven thousand, two hundred".