19897920 has 336 divisors, whose sum is σ = 83393280. Its totient is φ = 4451328.

The previous prime is 19897919. The next prime is 19897937. The reversal of 19897920 is 2979891.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423337 + ... + 423383.

Almost surely, 2^19897920 is an apocalyptic number.

19897920 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 19897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696640).

19897920 is an abundant number, since it is smaller than the sum of its proper divisors (63495360).

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

19897920 is a wasteful number, since it uses less digits than its factorization.

19897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 19897920 is about 4460.7084639102. The cubic root of 19897920 is about 270.9791608091.

The spelling of 19897920 in words is "nineteen million, eight hundred ninety-seven thousand, nine hundred twenty".