19413920 has 48 divisors (see below), whose sum is σ = 46575648. Its totient is φ = 7645440.

The previous prime is 19413893. The next prime is 19413931. The reversal of 19413920 is 2931491.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9815 + ... + 11625.

It is an arithmetic number, because the mean of its divisors is an integer number (970326).

Almost surely, 2^19413920 is an apocalyptic number.

19413920 is a gapful number since it is divisible by the number (10) 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 19413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23287824).

19413920 is an abundant number, since it is smaller than the sum of its proper divisors (27161728).

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

19413920 is a wasteful number, since it uses less digits than its factorization.

19413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 19413920 is about 4406.1230123545. The cubic root of 19413920 is about 268.7639891763.

The spelling of 19413920 in words is "nineteen million, four hundred thirteen thousand, nine hundred twenty".