120461616 has 120 divisors (see below), whose sum is σ = 371578896. Its totient is φ = 36126720.

The previous prime is 120461591. The next prime is 120461617. The reversal of 120461616 is 616164021.

120461616 is a `hidden beast` number, since 1 + 2 + 0 + 46 + 1 + 616 = 666.

It is a super-2 number, since 2×120461616² = 29022001858662912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120461616.

It is not an unprimeable number, because it can be changed into a prime (120461617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178656 + ... + 179328.

Almost surely, 2^120461616 is an apocalyptic number.

120461616 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 120461616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185789448).

120461616 is an abundant number, since it is smaller than the sum of its proper divisors (251117280).

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

120461616 is a wasteful number, since it uses less digits than its factorization.

120461616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120461616 is about 10975.5007175072. The cubic root of 120461616 is about 493.8740739090.

The spelling of 120461616 in words is "one hundred twenty million, four hundred sixty-one thousand, six hundred sixteen".