120626880 has 112 divisors (see below), whose sum is σ = 417844224. Its totient is φ = 29240320.

The previous prime is 120626873. The next prime is 120626899. The reversal of 120626880 is 88626021.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4849 + ... + 16271.

It is an arithmetic number, because the mean of its divisors is an integer number (3730752).

Almost surely, 2^120626880 is an apocalyptic number.

120626880 is a gapful number since it is divisible by the number (10) 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 120626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208922112).

120626880 is an abundant number, since it is smaller than the sum of its proper divisors (297217344).

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

120626880 is a wasteful number, since it uses less digits than its factorization.

120626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11454 (or 11444 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 120626880 is about 10983.0269051842. The cubic root of 120626880 is about 494.0998230198.

The spelling of 120626880 in words is "one hundred twenty million, six hundred twenty-six thousand, eight hundred eighty".