19413120 has 64 divisors (see below), whose sum is σ = 61885440. Its totient is φ = 5176320.

The previous prime is 19413113. The next prime is 19413139. The reversal of 19413120 is 2131491.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3136 + ... + 6975.

It is an arithmetic number, because the mean of its divisors is an integer number (966960).

Almost surely, 2^19413120 is an apocalyptic number.

19413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19413120 is an abundant number, since it is smaller than the sum of its proper divisors (42472320).

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

19413120 is a wasteful number, since it uses less digits than its factorization.

19413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 19413120 is about 4406.0322286611. The cubic root of 19413120 is about 268.7602974241.

The spelling of 19413120 in words is "nineteen million, four hundred thirteen thousand, one hundred twenty".