19013920 has 48 divisors (see below), whose sum is σ = 45275328. Its totient is φ = 7545600.

The previous prime is 19013899. The next prime is 19013933. The reversal of 19013920 is 2931091.

19013920 = T₅ + T₆ + ... + T₄₈₄.

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, 23767 + ... + 24553.

It is an arithmetic number, because the mean of its divisors is an integer number (943236).

Almost surely, 2^19013920 is an apocalyptic number.

19013920 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 19013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22637664).

19013920 is an abundant number, since it is smaller than the sum of its proper divisors (26261408).

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

19013920 is a wasteful number, since it uses less digits than its factorization.

19013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 19013920 is about 4360.4953847011. The cubic root of 19013920 is about 266.9053141418.

The spelling of 19013920 in words is "nineteen million, thirteen thousand, nine hundred twenty".