14961168 has 60 divisors (see below), whose sum is σ = 42305328. Its totient is φ = 4935360.

The previous prime is 14961157. The next prime is 14961217. The reversal of 14961168 is 86116941.

It is a happy number.

14961168 is a `hidden beast` number, since 1 + 496 + 1 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14923 + ... + 15893.

Almost surely, 2^14961168 is an apocalyptic number.

14961168 is a gapful number since it is divisible by the number (18) 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 14961168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21152664).

14961168 is an abundant number, since it is smaller than the sum of its proper divisors (27344160).

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

14961168 is a wasteful number, since it uses less digits than its factorization.

14961168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1083 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 14961168 is about 3867.9669078212. The cubic root of 14961168 is about 246.4082058604.

It can be divided in two parts, 14961 and 168, that added together give a square (15129 = 123²).

The spelling of 14961168 in words is "fourteen million, nine hundred sixty-one thousand, one hundred sixty-eight".