120760416 has 192 divisors, whose sum is σ = 413199360. Its totient is φ = 33592320.

The previous prime is 120760411. The next prime is 120760417. The reversal of 120760416 is 614067021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120760416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120760411) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 247725 + ... + 248211.

It is an arithmetic number, because the mean of its divisors is an integer number (2152080).

Almost surely, 2^120760416 is an apocalyptic number.

120760416 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 120760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206599680).

120760416 is an abundant number, since it is smaller than the sum of its proper divisors (292438944).

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

120760416 is a wasteful number, since it uses less digits than its factorization.

120760416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 120760416 is about 10989.1044221083. The cubic root of 120760416 is about 494.2820814073.

The spelling of 120760416 in words is "one hundred twenty million, seven hundred sixty thousand, four hundred sixteen".