18766164 has 48 divisors (see below), whose sum is σ = 47089728. Its totient is φ = 5795328.

The previous prime is 18766159. The next prime is 18766169. The reversal of 18766164 is 46166781.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18766159) and next prime (18766169).

It is a super-2 number, since 2×18766164² = 704337822549792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18766169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12982 + ... + 14354.

It is an arithmetic number, because the mean of its divisors is an integer number (981036).

Almost surely, 2^18766164 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 18766164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23544864).

18766164 is an abundant number, since it is smaller than the sum of its proper divisors (28323564).

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

18766164 is a wasteful number, since it uses less digits than its factorization.

18766164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1462 counting only the distinct ones).

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

The square root of 18766164 is about 4331.9930747867. The cubic root of 18766164 is about 265.7409617603.

The spelling of 18766164 in words is "eighteen million, seven hundred sixty-six thousand, one hundred sixty-four".