18961360 has 80 divisors (see below), whose sum is σ = 49818240. Its totient is φ = 6648320.

The previous prime is 18961357. The next prime is 18961381. The reversal of 18961360 is 6316981.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 25149 + ... + 25891.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 2^18961360 is an apocalyptic number.

18961360 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 18961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909120).

18961360 is an abundant number, since it is smaller than the sum of its proper divisors (30856880).

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

18961360 is a wasteful number, since it uses less digits than its factorization.

18961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 18961360 is about 4354.4643757872. The cubic root of 18961360 is about 266.6591525660.

It can be divided in two parts, 18961 and 360, that added together give a square (19321 = 139²).

The spelling of 18961360 in words is "eighteen million, nine hundred sixty-one thousand, three hundred sixty".