14564000 has 96 divisors (see below), whose sum is σ = 39154752. Its totient is φ = 5280000.

The previous prime is 14563999. The next prime is 14564009. The reversal of 14564000 is 46541.

It is a happy number.

14564000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14564000² = 424220192000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14564009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43835 + ... + 44165.

It is an arithmetic number, because the mean of its divisors is an integer number (407862).

Almost surely, 2^14564000 is an apocalyptic number.

14564000 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 14564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19577376).

14564000 is an abundant number, since it is smaller than the sum of its proper divisors (24590752).

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

14564000 is a wasteful number, since it uses less digits than its factorization.

14564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 14564000 is about 3816.2809120923. The cubic root of 14564000 is about 244.2081892417.

The spelling of 14564000 in words is "fourteen million, five hundred sixty-four thousand".