18794880 has 192 divisors, whose sum is σ = 70171920. Its totient is φ = 4608000.

The previous prime is 18794873. The next prime is 18794891. The reversal of 18794880 is 8849781.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74755 + ... + 75005.

Almost surely, 2^18794880 is an apocalyptic number.

18794880 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 18794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35085960).

18794880 is an abundant number, since it is smaller than the sum of its proper divisors (51377040).

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

18794880 is a wasteful number, since it uses less digits than its factorization.

18794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 18794880 is about 4335.3062175583. The cubic root of 18794880 is about 265.8764383630.

The spelling of 18794880 in words is "eighteen million, seven hundred ninety-four thousand, eight hundred eighty".