14973120 has 112 divisors (see below), whose sum is σ = 52852320. Its totient is φ = 3990528.

The previous prime is 14973113. The next prime is 14973137. The reversal of 14973120 is 2137941.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7774 + ... + 9506.

Almost surely, 2^14973120 is an apocalyptic number.

14973120 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 14973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26426160).

14973120 is an abundant number, since it is smaller than the sum of its proper divisors (37879200).

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

14973120 is a wasteful number, since it uses less digits than its factorization.

14973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14973120 is about 3869.5115970882. The cubic root of 14973120 is about 246.4738042812.

The spelling of 14973120 in words is "fourteen million, nine hundred seventy-three thousand, one hundred twenty".