18740960 has 96 divisors (see below), whose sum is σ = 52436160. Its totient is φ = 6193152.

The previous prime is 18740941. The next prime is 18740993. The reversal of 18740960 is 6904781.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 18740960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32192 + ... + 32768.

It is an arithmetic number, because the mean of its divisors is an integer number (546210).

Almost surely, 2^18740960 is an apocalyptic number.

18740960 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 18740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26218080).

18740960 is an abundant number, since it is smaller than the sum of its proper divisors (33695200).

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

18740960 is a wasteful number, since it uses less digits than its factorization.

18740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 18740960 is about 4329.0830437865. The cubic root of 18740960 is about 265.6219401724.

The spelling of 18740960 in words is "eighteen million, seven hundred forty thousand, nine hundred sixty".