14913864 has 96 divisors (see below), whose sum is σ = 46725120. Its totient is φ = 4209408.

The previous prime is 14913863. The next prime is 14913869. The reversal of 14913864 is 46831941.

14913864 = T₂₉₉ + T₃₀₀ + ... + T₄₈₇.

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 not an unprimeable number, because it can be changed into a prime (14913863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63892 + ... + 64124.

It is an arithmetic number, because the mean of its divisors is an integer number (486720).

Almost surely, 2^14913864 is an apocalyptic number.

14913864 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 14913864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23362560).

14913864 is an abundant number, since it is smaller than the sum of its proper divisors (31811256).

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

14913864 is a wasteful number, since it uses less digits than its factorization.

14913864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 14913864 is about 3861.8472263931. The cubic root of 14913864 is about 246.1482350684.

The spelling of 14913864 in words is "fourteen million, nine hundred thirteen thousand, eight hundred sixty-four".