18612648 has 72 divisors (see below), whose sum is σ = 52281450. Its totient is φ = 5981760.

The previous prime is 18612623. The next prime is 18612673. The reversal of 18612648 is 84621681.

18612648 is a `hidden beast` number, since 1 + 8 + 6 + 1 + 2 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (18612623) and next prime (18612673).

It can be written as a sum of positive squares in only one way, i.e., 18301284 + 311364 = 4278^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69058 + ... + 69326.

Almost surely, 2^18612648 is an apocalyptic number.

18612648 is a gapful number since it is divisible by the number (18) 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 18612648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26140725).

18612648 is an abundant number, since it is smaller than the sum of its proper divisors (33668802).

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

18612648 is a wasteful number, since it uses less digits than its factorization.

18612648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 305 counting only the distinct ones).

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

The square root of 18612648 is about 4314.2378237645. The cubic root of 18612648 is about 265.0143483390.

The spelling of 18612648 in words is "eighteen million, six hundred twelve thousand, six hundred forty-eight".