120413584 has 30 divisors (see below), whose sum is σ = 247841714. Its totient is φ = 56663040.

The previous prime is 120413581. The next prime is 120413599. The reversal of 120413584 is 485314021.

It can be written as a sum of positive squares in 3 ways, for example, as 79709184 + 40704400 = 8928^2 + 6380^2 .

It is not an unprimeable number, because it can be changed into a prime (120413581) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8397 + ... + 17644.

Almost surely, 2^120413584 is an apocalyptic number.

It is an amenable number.

120413584 is an abundant number, since it is smaller than the sum of its proper divisors (127428130).

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

120413584 is a wasteful number, since it uses less digits than its factorization.

120413584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26083 (or 26060 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 120413584 is about 10973.3123531594. The cubic root of 120413584 is about 493.8084239150.

It can be divided in two parts, 12041 and 3584, that added together give a 6-th power (15625 = 5⁶).

The spelling of 120413584 in words is "one hundred twenty million, four hundred thirteen thousand, five hundred eighty-four".