18101664 has 192 divisors, whose sum is σ = 62657280. Its totient is φ = 4976640.

The previous prime is 18101659. The next prime is 18101669. The reversal of 18101664 is 46610181.

It is an interprime number because it is at equal distance from previous prime (18101659) and next prime (18101669).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (18101669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247932 + ... + 248004.

It is an arithmetic number, because the mean of its divisors is an integer number (326340).

Almost surely, 2^18101664 is an apocalyptic number.

18101664 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 18101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31328640).

18101664 is an abundant number, since it is smaller than the sum of its proper divisors (44555616).

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

18101664 is a wasteful number, since it uses less digits than its factorization.

18101664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18101664 is about 4254.6050345479. The cubic root of 18101664 is about 262.5666116667.

The spelling of 18101664 in words is "eighteen million, one hundred one thousand, six hundred sixty-four".