120738816 has 176 divisors, whose sum is σ = 391058880. Its totient is φ = 36495360.

The previous prime is 120738719. The next prime is 120738841. The reversal of 120738816 is 618837021.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a congruent number.

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, 303930 + ... + 304326.

Almost surely, 2^120738816 is an apocalyptic number.

120738816 is a gapful number since it is divisible by the number (16) 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 120738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195529440).

120738816 is an abundant number, since it is smaller than the sum of its proper divisors (270320064).

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

120738816 is a wasteful number, since it uses less digits than its factorization.

120738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 120738816 is about 10988.1215865133. The cubic root of 120738816 is about 494.2526094718.

The spelling of 120738816 in words is "one hundred twenty million, seven hundred thirty-eight thousand, eight hundred sixteen".