18853680 has 80 divisors (see below), whose sum is σ = 61897824. Its totient is φ = 4730880.

The previous prime is 18853657. The next prime is 18853687. The reversal of 18853680 is 8635881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×18853680² = 710922499084800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18853687) 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, 1770 + ... + 6390.

Almost surely, 2^18853680 is an apocalyptic number.

18853680 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 18853680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30948912).

18853680 is an abundant number, since it is smaller than the sum of its proper divisors (43044144).

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

18853680 is a wasteful number, since it uses less digits than its factorization.

18853680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 18853680 is about 4342.0824497008. The cubic root of 18853680 is about 266.1534155614.

It can be divided in two parts, 1885 and 3680, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 18853680 in words is "eighteen million, eight hundred fifty-three thousand, six hundred eighty".