88731120 has 80 divisors (see below), whose sum is σ = 276009120. Its totient is φ = 23580672.

The previous prime is 88731113. The next prime is 88731127. The reversal of 88731120 is 2113788.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88731113) and next prime (88731127).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88731127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109276 + ... + 110084.

It is an arithmetic number, because the mean of its divisors is an integer number (3450114).

Almost surely, 2^88731120 is an apocalyptic number.

88731120 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 88731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138004560).

88731120 is an abundant number, since it is smaller than the sum of its proper divisors (187278000).

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

88731120 is a wasteful number, since it uses less digits than its factorization.

88731120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 88731120 is about 9419.7197410539. The cubic root of 88731120 is about 446.0244377877.

The spelling of 88731120 in words is "eighty-eight million, seven hundred thirty-one thousand, one hundred twenty".