120886304 has 96 divisors (see below), whose sum is σ = 301335552. Its totient is φ = 46368000.

The previous prime is 120886277. The next prime is 120886309. The reversal of 120886304 is 403688021.

It is a super-2 number, since 2×120886304² = 29226996989560832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (120886309) 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, 174599 + ... + 175289.

It is an arithmetic number, because the mean of its divisors is an integer number (3138912).

Almost surely, 2^120886304 is an apocalyptic number.

120886304 is a gapful number since it is divisible by the number (14) 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 120886304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150667776).

120886304 is an abundant number, since it is smaller than the sum of its proper divisors (180449248).

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

120886304 is a wasteful number, since it uses less digits than its factorization.

120886304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 120886304 is about 10994.8307854191. The cubic root of 120886304 is about 494.4537783235.

The spelling of 120886304 in words is "one hundred twenty million, eight hundred eighty-six thousand, three hundred four".