14292864 has 96 divisors (see below), whose sum is σ = 43360200. Its totient is φ = 4506624.

The previous prime is 14292851. The next prime is 14292871. The reversal of 14292864 is 46829241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14292864² = 408571922644992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21562 + ... + 22214.

Almost surely, 2^14292864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21680100).

14292864 is an abundant number, since it is smaller than the sum of its proper divisors (29067336).

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

14292864 is a wasteful number, since it uses less digits than its factorization.

14292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14292864 is about 3780.5904300783. The cubic root of 14292864 is about 242.6832228503.

The spelling of 14292864 in words is "fourteen million, two hundred ninety-two thousand, eight hundred sixty-four".