14937960 has 64 divisors (see below), whose sum is σ = 45074880. Its totient is φ = 3960320.

The previous prime is 14937947. The next prime is 14937961. The reversal of 14937960 is 6973941.

It is not an unprimeable number, because it can be changed into a prime (14937961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33499 + ... + 33941.

It is an arithmetic number, because the mean of its divisors is an integer number (704295).

Almost surely, 2^14937960 is an apocalyptic number.

14937960 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 14937960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537440).

14937960 is an abundant number, since it is smaller than the sum of its proper divisors (30136920).

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

14937960 is a wasteful number, since it uses less digits than its factorization.

14937960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 14937960 is about 3864.9657178298. The cubic root of 14937960 is about 246.2807291567.

It can be divided in two parts, 1493 and 7960, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 14937960 in words is "fourteen million, nine hundred thirty-seven thousand, nine hundred sixty".