88545600 has 504 divisors, whose sum is σ = 378329952. Its totient is φ = 19353600.

The previous prime is 88545581. The next prime is 88545617. The reversal of 88545600 is 654588.

It is a happy number.

88545600 is a `hidden beast` number, since 8 + 8 + 5 + 45 + 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 71 ways as a sum of consecutive naturals, for example, 2059179 + ... + 2059221.

Almost surely, 2^88545600 is an apocalyptic number.

88545600 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 88545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189164976).

88545600 is an abundant number, since it is smaller than the sum of its proper divisors (289784352).

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

88545600 is a wasteful number, since it uses less digits than its factorization.

88545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 88545600 is about 9409.8671616554. The cubic root of 88545600 is about 445.7133699615.

The spelling of 88545600 in words is "eighty-eight million, five hundred forty-five thousand, six hundred".