88112160 has 144 divisors (see below), whose sum is σ = 307891584. Its totient is φ = 22934016.

The previous prime is 88112153. The next prime is 88112161. The reversal of 88112160 is 6121188.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (88112161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61209 + ... + 62631.

It is an arithmetic number, because the mean of its divisors is an integer number (2138136).

Almost surely, 2^88112160 is an apocalyptic number.

88112160 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 88112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153945792).

88112160 is an abundant number, since it is smaller than the sum of its proper divisors (219779424).

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

88112160 is a wasteful number, since it uses less digits than its factorization.

88112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 88112160 is about 9386.8077640910. The cubic root of 88112160 is about 444.9849088010.

It can be divided in two parts, 881 and 12160, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 88112160 in words is "eighty-eight million, one hundred twelve thousand, one hundred sixty".