14961120 has 96 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 3924480.

The previous prime is 14961103. The next prime is 14961143. The reversal of 14961120 is 2116941.

14961120 = 36² + 37² + ... + 355².

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

It is a super-2 number, since 2×14961120² = 447670223308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 33861 + ... + 34299.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^14961120 is an apocalyptic number.

14961120 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 14961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

14961120 is an abundant number, since it is smaller than the sum of its proper divisors (32939040).

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

14961120 is a wasteful number, since it uses less digits than its factorization.

14961120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 14961120 is about 3867.9607030062. The cubic root of 14961120 is about 246.4079423425.

The spelling of 14961120 in words is "fourteen million, nine hundred sixty-one thousand, one hundred twenty".