120084736 has 72 divisors (see below), whose sum is σ = 260376984. Its totient is φ = 55050240.

The previous prime is 120084691. The next prime is 120084743. The reversal of 120084736 is 637480021.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 116640000 = 1856^2 + 10800^2 .

It is a super-3 number, since 3×120084736³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120084698 and 120084707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178096 + ... + 178768.

It is an arithmetic number, because the mean of its divisors is an integer number (3616347).

Almost surely, 2^120084736 is an apocalyptic number.

120084736 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 120084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130188492).

120084736 is an abundant number, since it is smaller than the sum of its proper divisors (140292248).

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

120084736 is an equidigital number, since it uses as much as digits as its factorization.

120084736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 120084736 is about 10958.3181191276. The cubic root of 120084736 is about 493.3584858534.

The spelling of 120084736 in words is "one hundred twenty million, eighty-four thousand, seven hundred thirty-six".