120747616 has 48 divisors (see below), whose sum is σ = 260402688. Its totient is φ = 54659200.

The previous prime is 120747607. The next prime is 120747643. The reversal of 120747616 is 616747021.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 108921 + ... + 110023.

It is an arithmetic number, because the mean of its divisors is an integer number (5425056).

Almost surely, 2^120747616 is an apocalyptic number.

120747616 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 120747616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130201344).

120747616 is an abundant number, since it is smaller than the sum of its proper divisors (139655072).

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

120747616 is a wasteful number, since it uses less digits than its factorization.

120747616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 120747616 is about 10988.5220116265. The cubic root of 120747616 is about 494.2646169809.

The spelling of 120747616 in words is "one hundred twenty million, seven hundred forty-seven thousand, six hundred sixteen".