14682564 has 72 divisors (see below), whose sum is σ = 40436760. Its totient is φ = 4465152.

The previous prime is 14682559. The next prime is 14682571. The reversal of 14682564 is 46528641.

14682564 is a `hidden beast` number, since 14 + 6 + 82 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3392964 + 11289600 = 1842^2 + 3360^2 .

It is a super-2 number, since 2×14682564² = 431155371228192, which contains 22 as substring.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64002 + ... + 64230.

Almost surely, 2^14682564 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 14682564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20218380).

14682564 is an abundant number, since it is smaller than the sum of its proper divisors (25754196).

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

14682564 is a wasteful number, since it uses less digits than its factorization.

14682564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 384 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 14682564 is about 3831.7833968010. The cubic root of 14682564 is about 244.8690901361.

The spelling of 14682564 in words is "fourteen million, six hundred eighty-two thousand, five hundred sixty-four".