14536368 has 320 divisors, whose sum is σ = 57139200. Its totient is φ = 3421440.

The previous prime is 14536351. The next prime is 14536393. The reversal of 14536368 is 86363541.

14536368 is a `hidden beast` number, since 14 + 5 + 3 + 636 + 8 = 666.

It is a super-2 number, since 2×14536368² = 422611989262848, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632005 + ... + 632027.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^14536368 is an apocalyptic number.

14536368 is a gapful number since it is divisible by the number (18) 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 14536368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569600).

14536368 is an abundant number, since it is smaller than the sum of its proper divisors (42602832).

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

14536368 is a wasteful number, since it uses less digits than its factorization.

14536368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 14536368 is about 3812.6589147208. The cubic root of 14536368 is about 244.0536476143.

The spelling of 14536368 in words is "fourteen million, five hundred thirty-six thousand, three hundred sixty-eight".