14792064 has 64 divisors (see below), whose sum is σ = 44912640. Its totient is φ = 4225536.

The previous prime is 14792047. The next prime is 14792083. The reversal of 14792064 is 46029741.

It is a happy number.

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

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, 64 + ... + 5439.

It is an arithmetic number, because the mean of its divisors is an integer number (701760).

Almost surely, 2^14792064 is an apocalyptic number.

14792064 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 14792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22456320).

14792064 is an abundant number, since it is smaller than the sum of its proper divisors (30120576).

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

14792064 is an equidigital number, since it uses as much as digits as its factorization.

14792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527 (or 5515 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 14792064 is about 3846.0452415436. The cubic root of 14792064 is about 245.4763134205.

The spelling of 14792064 in words is "fourteen million, seven hundred ninety-two thousand, sixty-four".