19794960 has 120 divisors (see below), whose sum is σ = 70025280. Its totient is φ = 4997376.

The previous prime is 19794959. The next prime is 19794961. The reversal of 19794960 is 6949791.

It is an interprime number because it is at equal distance from previous prime (19794959) and next prime (19794961).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (19794961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12957 + ... + 14403.

It is an arithmetic number, because the mean of its divisors is an integer number (583544).

Almost surely, 2^19794960 is an apocalyptic number.

19794960 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 19794960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35012640).

19794960 is an abundant number, since it is smaller than the sum of its proper divisors (50230320).

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

19794960 is a wasteful number, since it uses less digits than its factorization.

19794960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 19794960 is about 4449.1527283293. The cubic root of 19794960 is about 270.5109665581.

The spelling of 19794960 in words is "nineteen million, seven hundred ninety-four thousand, nine hundred sixty".