18812640 has 192 divisors, whose sum is σ = 74027520. Its totient is φ = 3901440.

The previous prime is 18812627. The next prime is 18812663. The reversal of 18812640 is 4621881.

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

It is a junction number, because it is equal to n+sod(n) for n = 18812598 and 18812607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36706 + ... + 37214.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^18812640 is an apocalyptic number.

18812640 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 18812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

18812640 is an abundant number, since it is smaller than the sum of its proper divisors (55214880).

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

18812640 is a wasteful number, since it uses less digits than its factorization.

18812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

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

The square root of 18812640 is about 4337.3540321260. The cubic root of 18812640 is about 265.9601575994.

The spelling of 18812640 in words is "eighteen million, eight hundred twelve thousand, six hundred forty".