88689120 has 192 divisors, whose sum is σ = 307105344. Its totient is φ = 21381120.

The previous prime is 88689103. The next prime is 88689179. The reversal of 88689120 is 2198688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380524 + ... + 380756.

It is an arithmetic number, because the mean of its divisors is an integer number (1599507).

Almost surely, 2^88689120 is an apocalyptic number.

88689120 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 88689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

88689120 is an abundant number, since it is smaller than the sum of its proper divisors (218416224).

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

88689120 is a wasteful number, since it uses less digits than its factorization.

88689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 88689120 is about 9417.4901114894. The cubic root of 88689120 is about 445.9540529259.

The spelling of 88689120 in words is "eighty-eight million, six hundred eighty-nine thousand, one hundred twenty".