88848320 has 112 divisors (see below), whose sum is σ = 236573568. Its totient is φ = 31503360.

The previous prime is 88848317. The next prime is 88848323. The reversal of 88848320 is 2384888.

It is an interprime number because it is at equal distance from previous prime (88848317) and next prime (88848323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88848323) 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, 151067 + ... + 151653.

It is an arithmetic number, because the mean of its divisors is an integer number (2112264).

Almost surely, 2^88848320 is an apocalyptic number.

88848320 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 88848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118286784).

88848320 is an abundant number, since it is smaller than the sum of its proper divisors (147725248).

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

88848320 is a wasteful number, since it uses less digits than its factorization.

88848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 88848320 is about 9425.9386800467. The cubic root of 88848320 is about 446.2207276789.

The spelling of 88848320 in words is "eighty-eight million, eight hundred forty-eight thousand, three hundred twenty".