14951268 has 36 divisors (see below), whose sum is σ = 38001600. Its totient is φ = 4956336.

The previous prime is 14951263. The next prime is 14951281. The reversal of 14951268 is 86215941.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14951263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6121 + ... + 8207.

It is an arithmetic number, because the mean of its divisors is an integer number (1055600).

Almost surely, 2^14951268 is an apocalyptic number.

14951268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14951268 is an abundant number, since it is smaller than the sum of its proper divisors (23050332).

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

14951268 is a wasteful number, since it uses less digits than its factorization.

14951268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2291 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 14951268 is about 3866.6869539698. The cubic root of 14951268 is about 246.3538433600.

The spelling of 14951268 in words is "fourteen million, nine hundred fifty-one thousand, two hundred sixty-eight".