18794320 has 40 divisors (see below), whose sum is σ = 45209160. Its totient is φ = 7257600.

The previous prime is 18794317. The next prime is 18794323. The reversal of 18794320 is 2349781.

It is an interprime number because it is at equal distance from previous prime (18794317) and next prime (18794323).

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 10705984 = 2844^2 + 3272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18794323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1731 + ... + 6370.

It is an arithmetic number, because the mean of its divisors is an integer number (1130229).

Almost surely, 2^18794320 is an apocalyptic number.

18794320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18794320 is an abundant number, since it is smaller than the sum of its proper divisors (26414840).

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

18794320 is a wasteful number, since it uses less digits than its factorization.

18794320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 18794320 is about 4335.2416310974. The cubic root of 18794320 is about 265.8737977097.

The spelling of 18794320 in words is "eighteen million, seven hundred ninety-four thousand, three hundred twenty".