120077632 has 56 divisors (see below), whose sum is σ = 254568960. Its totient is φ = 56071680.

The previous prime is 120077609. The next prime is 120077651. The reversal of 120077632 is 236770021.

It is a self number, because there is not a number n which added to its sum of digits gives 120077632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56493 + ... + 58579.

Almost surely, 2^120077632 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 120077632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127284480).

120077632 is an abundant number, since it is smaller than the sum of its proper divisors (134491328).

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

120077632 is a wasteful number, since it uses less digits than its factorization.

120077632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 120077632 is about 10957.9939770014. The cubic root of 120077632 is about 493.3487569238.

The spelling of 120077632 in words is "one hundred twenty million, seventy-seven thousand, six hundred thirty-two".