18863680 has 112 divisors (see below), whose sum is σ = 51352704. Its totient is φ = 6533120.

The previous prime is 18863671. The next prime is 18863681. The reversal of 18863680 is 8636881.

18863680 = 740² + 741² + ... + 772².

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (18863681) 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, 80844 + ... + 81076.

Almost surely, 2^18863680 is an apocalyptic number.

18863680 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 18863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25676352).

18863680 is an abundant number, since it is smaller than the sum of its proper divisors (32489024).

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

18863680 is a wasteful number, since it uses less digits than its factorization.

18863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 18863680 is about 4343.2338182511. The cubic root of 18863680 is about 266.2004632065.

The spelling of 18863680 in words is "eighteen million, eight hundred sixty-three thousand, six hundred eighty".