18812664 has 96 divisors (see below), whose sum is σ = 55692000. Its totient is φ = 5702400.

The previous prime is 18812663. The next prime is 18812671. The reversal of 18812664 is 46621881.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18812663) 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, 94437 + ... + 94635.

It is an arithmetic number, because the mean of its divisors is an integer number (580125).

Almost surely, 2^18812664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18812664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

18812664 is an abundant number, since it is smaller than the sum of its proper divisors (36879336).

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

18812664 is a wasteful number, since it uses less digits than its factorization.

18812664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18812664 is about 4337.3567987889. The cubic root of 18812664 is about 265.9602706978.

It can be divided in two parts, 188 and 12664, that multiplied together give a palindrome (2380832).

The spelling of 18812664 in words is "eighteen million, eight hundred twelve thousand, six hundred sixty-four".