14820960 has 192 divisors, whose sum is σ = 58351104. Its totient is φ = 3072000.

The previous prime is 14820941. The next prime is 14820961. The reversal of 14820960 is 6902841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14820961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36760 + ... + 37160.

It is an arithmetic number, because the mean of its divisors is an integer number (303912).

Almost surely, 2^14820960 is an apocalyptic number.

14820960 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 14820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29175552).

14820960 is an abundant number, since it is smaller than the sum of its proper divisors (43530144).

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

14820960 is a wasteful number, since it uses less digits than its factorization.

14820960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14820960 is about 3849.7999948049. The cubic root of 14820960 is about 245.6360537988.

The spelling of 14820960 in words is "fourteen million, eight hundred twenty thousand, nine hundred sixty".