18412680 has 256 divisors, whose sum is σ = 68947200. Its totient is φ = 3870720.

The previous prime is 18412679. The next prime is 18412687. The reversal of 18412680 is 8621481.

It is a Cunningham number, because it is equal to 4291²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18412687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497622 + ... + 497658.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^18412680 is an apocalyptic number.

18412680 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 18412680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

18412680 is an abundant number, since it is smaller than the sum of its proper divisors (50534520).

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

18412680 is a wasteful number, since it uses less digits than its factorization.

18412680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 18412680 is about 4290.9998834770. Note that the first 3 decimals coincide. The cubic root of 18412680 is about 264.0618541935.

The spelling of 18412680 in words is "eighteen million, four hundred twelve thousand, six hundred eighty".