88845120 has 448 divisors, whose sum is σ = 389168640. Its totient is φ = 18579456.

The previous prime is 88845089. The next prime is 88845139. The reversal of 88845120 is 2154888.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786184 + ... + 786296.

It is an arithmetic number, because the mean of its divisors is an integer number (868680).

Almost surely, 2^88845120 is an apocalyptic number.

88845120 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 88845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

88845120 is an abundant number, since it is smaller than the sum of its proper divisors (300323520).

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

88845120 is a wasteful number, since it uses less digits than its factorization.

88845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 88845120 is about 9425.7689341507. The cubic root of 88845120 is about 446.2153705209.

The spelling of 88845120 in words is "eighty-eight million, eight hundred forty-five thousand, one hundred twenty".