18954880 has 64 divisors (see below), whose sum is σ = 51799680. Its totient is φ = 6497280.

The previous prime is 18954853. The next prime is 18954883. The reversal of 18954880 is 8845981.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (18954883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2365 + ... + 6595.

It is an arithmetic number, because the mean of its divisors is an integer number (809370).

Almost surely, 2^18954880 is an apocalyptic number.

18954880 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 18954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25899840).

18954880 is an abundant number, since it is smaller than the sum of its proper divisors (32844800).

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

18954880 is an equidigital number, since it uses as much as digits as its factorization.

18954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 18954880 is about 4353.7202482475. The cubic root of 18954880 is about 266.6287723931.

The spelling of 18954880 in words is "eighteen million, nine hundred fifty-four thousand, eight hundred eighty".