14952960 has 240 divisors, whose sum is σ = 57451680. Its totient is φ = 3563520.

The previous prime is 14952941. The next prime is 14952961. The reversal of 14952960 is 6925941.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (14952961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253411 + ... + 253469.

It is an arithmetic number, because the mean of its divisors is an integer number (239382).

Almost surely, 2^14952960 is an apocalyptic number.

14952960 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 14952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28725840).

14952960 is an abundant number, since it is smaller than the sum of its proper divisors (42498720).

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

14952960 is a wasteful number, since it uses less digits than its factorization.

14952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 14952960 is about 3866.9057397356. The cubic root of 14952960 is about 246.3631361054.

The spelling of 14952960 in words is "fourteen million, nine hundred fifty-two thousand, nine hundred sixty".