88149600 has 576 divisors, whose sum is σ = 404974080. Its totient is φ = 17971200.

The previous prime is 88149587. The next prime is 88149619. The reversal of 88149600 is 694188.

It is a happy number.

88149600 is a `hidden beast` number, since 8 + 8 + 1 + 49 + 600 = 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 95 ways as a sum of consecutive naturals, for example, 1663174 + ... + 1663226.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^88149600 is an apocalyptic number.

88149600 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 88149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

88149600 is an abundant number, since it is smaller than the sum of its proper divisors (316824480).

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

88149600 is a wasteful number, since it uses less digits than its factorization.

88149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 88149600 is about 9388.8018404906. The cubic root of 88149600 is about 445.0479264966.

The spelling of 88149600 in words is "eighty-eight million, one hundred forty-nine thousand, six hundred".