120652416 has 128 divisors (see below), whose sum is σ = 361324800. Its totient is φ = 40124160.

The previous prime is 120652409. The next prime is 120652421. The reversal of 120652416 is 614256021.

120652416 is a `hidden beast` number, since 1 + 2 + 0 + 652 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 120652416.

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, 279721 + ... + 280151.

It is an arithmetic number, because the mean of its divisors is an integer number (2822850).

Almost surely, 2^120652416 is an apocalyptic number.

120652416 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 120652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180662400).

120652416 is an abundant number, since it is smaller than the sum of its proper divisors (240672384).

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

120652416 is an frugal number, since it uses more digits than its factorization.

120652416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120652416 is about 10984.1893647187. The cubic root of 120652416 is about 494.1346865673.

The spelling of 120652416 in words is "one hundred twenty million, six hundred fifty-two thousand, four hundred sixteen".