88120920 has 64 divisors (see below), whose sum is σ = 266872320. Its totient is φ = 23275904.

The previous prime is 88120891. The next prime is 88120943. The reversal of 88120920 is 2902188.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 9409 + ... + 16271.

It is an arithmetic number, because the mean of its divisors is an integer number (4169880).

Almost surely, 2^88120920 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 88120920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133436160).

88120920 is an abundant number, since it is smaller than the sum of its proper divisors (178751400).

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

88120920 is a wasteful number, since it uses less digits than its factorization.

88120920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 88120920 is about 9387.2743647983. The cubic root of 88120920 is about 444.9996549255. Note that the first 3 decimals are identical.

The spelling of 88120920 in words is "eighty-eight million, one hundred twenty thousand, nine hundred twenty".