19398960 has 160 divisors (see below), whose sum is σ = 76423680. Its totient is φ = 4430592.

The previous prime is 19398937. The next prime is 19398961. The reversal of 19398960 is 6989391.

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

It is not an unprimeable number, because it can be changed into a prime (19398961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14479 + ... + 15761.

It is an arithmetic number, because the mean of its divisors is an integer number (477648).

Almost surely, 2^19398960 is an apocalyptic number.

19398960 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 19398960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211840).

19398960 is an abundant number, since it is smaller than the sum of its proper divisors (57024720).

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

19398960 is a wasteful number, since it uses less digits than its factorization.

19398960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 19398960 is about 4404.4250476084. The cubic root of 19398960 is about 268.6949366188.

The spelling of 19398960 in words is "nineteen million, three hundred ninety-eight thousand, nine hundred sixty".