14868432 has 60 divisors (see below), whose sum is σ = 42169920. Its totient is φ = 4889664.

The previous prime is 14868407. The next prime is 14868433. The reversal of 14868432 is 23486841.

It is a super-3 number, since 3×14868432³ (a number of 22 digits) contains 333 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14868433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10723 + ... + 12029.

It is an arithmetic number, because the mean of its divisors is an integer number (702832).

Almost surely, 2^14868432 is an apocalyptic number.

14868432 is a gapful number since it is divisible by the number (12) 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 14868432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21084960).

14868432 is an abundant number, since it is smaller than the sum of its proper divisors (27301488).

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

14868432 is a wasteful number, since it uses less digits than its factorization.

14868432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1391 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 14868432 is about 3855.9605807114. The cubic root of 14868432 is about 245.8980342833.

The spelling of 14868432 in words is "fourteen million, eight hundred sixty-eight thousand, four hundred thirty-two".