120671628 has 96 divisors (see below), whose sum is σ = 356052480. Its totient is φ = 30896640.

The previous prime is 120671609. The next prime is 120671633. The reversal of 120671628 is 826176021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66558 + ... + 68346.

It is an arithmetic number, because the mean of its divisors is an integer number (3708880).

Almost surely, 2^120671628 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 120671628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178026240).

120671628 is an abundant number, since it is smaller than the sum of its proper divisors (235380852).

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

120671628 is a wasteful number, since it uses less digits than its factorization.

120671628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 120671628 is about 10985.0638596232. The cubic root of 120671628 is about 494.1609129015.

It can be divided in two parts, 12067 and 1628, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 120671628 in words is "one hundred twenty million, six hundred seventy-one thousand, six hundred twenty-eight".