88488672 has 96 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 27260928.

The previous prime is 88488671. The next prime is 88488721. The reversal of 88488672 is 27688488.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88488671) 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, 95829 + ... + 96747.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2^88488672 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 88488672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

88488672 is an abundant number, since it is smaller than the sum of its proper divisors (161898528).

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

88488672 is a wasteful number, since it uses less digits than its factorization.

88488672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 88488672 is about 9406.8417654386. The cubic root of 88488672 is about 445.6178296959.

The spelling of 88488672 in words is "eighty-eight million, four hundred eighty-eight thousand, six hundred seventy-two".