14075264 has 64 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 5761536.

The previous prime is 14075251. The next prime is 14075273. The reversal of 14075264 is 46257041.

14075264 = 212² + 213² + ... + 372².

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14075264² = 396226113339392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20267 + ... + 20949.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 2^14075264 is an apocalyptic number.

14075264 is a gapful number since it is divisible by the number (14) 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 14075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

14075264 is an abundant number, since it is smaller than the sum of its proper divisors (19413376).

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

14075264 is an equidigital number, since it uses as much as digits as its factorization.

14075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 14075264 is about 3751.7014806618. The cubic root of 14075264 is about 241.4453522543.

The spelling of 14075264 in words is "fourteen million, seventy-five thousand, two hundred sixty-four".