88905168 has 160 divisors (see below), whose sum is σ = 284446080. Its totient is φ = 26357760.

The previous prime is 88905163. The next prime is 88905169. The reversal of 88905168 is 86150988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88905163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251680 + ... + 252032.

It is an arithmetic number, because the mean of its divisors is an integer number (1777788).

Almost surely, 2^88905168 is an apocalyptic number.

88905168 is a gapful number since it is divisible by the number (88) 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 88905168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142223040).

88905168 is an abundant number, since it is smaller than the sum of its proper divisors (195540912).

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

88905168 is a wasteful number, since it uses less digits than its factorization.

88905168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 88905168 is about 9428.9537065361. The cubic root of 88905168 is about 446.3158761585.

The spelling of 88905168 in words is "eighty-eight million, nine hundred five thousand, one hundred sixty-eight".