18790464 has 224 divisors, whose sum is σ = 65544192. Its totient is φ = 4608000.

The previous prime is 18790439. The next prime is 18790483. The reversal of 18790464 is 46409781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458284 + ... + 458324.

It is an arithmetic number, because the mean of its divisors is an integer number (292608).

Almost surely, 2^18790464 is an apocalyptic number.

18790464 is a gapful number since it is divisible by the number (14) 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 18790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32772096).

18790464 is an abundant number, since it is smaller than the sum of its proper divisors (46753728).

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

18790464 is a wasteful number, since it uses less digits than its factorization.

18790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 18790464 is about 4334.7968810545. The cubic root of 18790464 is about 265.8556135015.

The spelling of 18790464 in words is "eighteen million, seven hundred ninety thousand, four hundred sixty-four".