18648420 has 72 divisors (see below), whose sum is σ = 60750144. Its totient is φ = 4261824.

The previous prime is 18648401. The next prime is 18648431. The reversal of 18648420 is 2484681.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232 + ... + 6111.

It is an arithmetic number, because the mean of its divisors is an integer number (843752).

Almost surely, 2^18648420 is an apocalyptic number.

18648420 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 18648420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30375072).

18648420 is an abundant number, since it is smaller than the sum of its proper divisors (42101724).

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

18648420 is a wasteful number, since it uses less digits than its factorization.

18648420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 18648420 is about 4318.3816413096. The cubic root of 18648420 is about 265.1840183832.

The spelling of 18648420 in words is "eighteen million, six hundred forty-eight thousand, four hundred twenty".