88905600 has 480 divisors, whose sum is σ = 382602000. Its totient is φ = 20321280.

The previous prime is 88905587. The next prime is 88905601. The reversal of 88905600 is 650988.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

88905600 is a `hidden beast` number, since 8 + 8 + 90 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×88905600² = 15808411422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88905601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12700797 + ... + 12700803.

Almost surely, 2^88905600 is an apocalyptic number.

88905600 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 88905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191301000).

88905600 is an abundant number, since it is smaller than the sum of its proper divisors (293696400).

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

88905600 is an equidigital number, since it uses as much as digits as its factorization.

88905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 88905600 is about 9428.9766146703. The cubic root of 88905600 is about 446.3165990567.

The spelling of 88905600 in words is "eighty-eight million, nine hundred five thousand, six hundred".