88125312 has 128 divisors (see below), whose sum is σ = 263992320. Its totient is φ = 25804800.

The previous prime is 88125293. The next prime is 88125313. The reversal of 88125312 is 21352188.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 88125312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88125313) 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, 130608 + ... + 131280.

It is an arithmetic number, because the mean of its divisors is an integer number (2062440).

Almost surely, 2^88125312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131996160).

88125312 is an abundant number, since it is smaller than the sum of its proper divisors (175867008).

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

88125312 is a wasteful number, since it uses less digits than its factorization.

88125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 88125312 is about 9387.5082956022. The cubic root of 88125312 is about 445.0070478200.

The spelling of 88125312 in words is "eighty-eight million, one hundred twenty-five thousand, three hundred twelve".