88958400 has 168 divisors, whose sum is σ = 299337984. Its totient is φ = 23116800.

The previous prime is 88958383. The next prime is 88958413. The reversal of 88958400 is 485988.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206185 + ... + 206615.

Almost surely, 2^88958400 is an apocalyptic number.

88958400 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 88958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149668992).

88958400 is an abundant number, since it is smaller than the sum of its proper divisors (210379584).

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

88958400 is a wasteful number, since it uses less digits than its factorization.

88958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 88958400 is about 9431.7760787669. The cubic root of 88958400 is about 446.4049356477.

The spelling of 88958400 in words is "eighty-eight million, nine hundred fifty-eight thousand, four hundred".