120179628 has 36 divisors (see below), whose sum is σ = 304373160. Its totient is φ = 39982656.

The previous prime is 120179627. The next prime is 120179639. The reversal of 120179628 is 826971021.

120179628 is a `hidden beast` number, since 1 + 20 + 1 + 7 + 9 + 628 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 120179592 and 120179601.

It is not an unprimeable number, because it can be changed into a prime (120179621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17551 + ... + 23417.

It is an arithmetic number, because the mean of its divisors is an integer number (8454810).

Almost surely, 2^120179628 is an apocalyptic number.

120179628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120179628 is an abundant number, since it is smaller than the sum of its proper divisors (184193532).

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

120179628 is a wasteful number, since it uses less digits than its factorization.

120179628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 120179628 is about 10962.6469431429. The cubic root of 120179628 is about 493.4884036903.

The spelling of 120179628 in words is "one hundred twenty million, one hundred seventy-nine thousand, six hundred twenty-eight".