88166400 has 312 divisors, whose sum is σ = 341269824. Its totient is φ = 19660800.

The previous prime is 88166389. The next prime is 88166417. The reversal of 88166400 is 466188.

It is a zygodrome in base 4.

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, 2150380 + ... + 2150420.

Almost surely, 2^88166400 is an apocalyptic number.

88166400 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 88166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170634912).

88166400 is an abundant number, since it is smaller than the sum of its proper divisors (253103424).

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

88166400 is a wasteful number, since it uses less digits than its factorization.

88166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 88166400 is about 9389.6964807176. The cubic root of 88166400 is about 445.0761978679.

The spelling of 88166400 in words is "eighty-eight million, one hundred sixty-six thousand, four hundred".