18756960 has 96 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 4781568.

The previous prime is 18756949. The next prime is 18756989. The reversal of 18756960 is 6965781.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10191 + ... + 11889.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^18756960 is an apocalyptic number.

18756960 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 18756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

18756960 is an abundant number, since it is smaller than the sum of its proper divisors (42932640).

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

18756960 is a wasteful number, since it uses less digits than its factorization.

18756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 18756960 is about 4330.9306159300. The cubic root of 18756960 is about 265.6975098009.

The spelling of 18756960 in words is "eighteen million, seven hundred fifty-six thousand, nine hundred sixty".