120809628 has 36 divisors (see below), whose sum is σ = 305993688. Its totient is φ = 40188960.

The previous prime is 120809597. The next prime is 120809653. The reversal of 120809628 is 826908021.

120809628 is a `hidden beast` number, since 1 + 20 + 8 + 0 + 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 = 120809592 and 120809601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16375 + ... + 22577.

Almost surely, 2^120809628 is an apocalyptic number.

120809628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120809628 is an abundant number, since it is smaller than the sum of its proper divisors (185184060).

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

120809628 is a wasteful number, since it uses less digits than its factorization.

120809628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 120809628 is about 10991.3433209958. The cubic root of 120809628 is about 494.3492151782.

The spelling of 120809628 in words is "one hundred twenty million, eight hundred nine thousand, six hundred twenty-eight".