88578900 has 144 divisors (see below), whose sum is σ = 290606400. Its totient is φ = 23137920.

The previous prime is 88578877. The next prime is 88578913. The reversal of 88578900 is 987588.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142791 + ... + 143409.

It is an arithmetic number, because the mean of its divisors is an integer number (2018100).

Almost surely, 2^88578900 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 88578900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303200).

88578900 is an abundant number, since it is smaller than the sum of its proper divisors (202027500).

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

88578900 is a wasteful number, since it uses less digits than its factorization.

88578900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 88578900 is about 9411.6364145668. The cubic root of 88578900 is about 445.7692372020.

The spelling of 88578900 in words is "eighty-eight million, five hundred seventy-eight thousand, nine hundred".