13914432 has 252 divisors, whose sum is σ = 50817780. Its totient is φ = 3612672.

The previous prime is 13914431. The next prime is 13914437. The reversal of 13914432 is 23441931.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 4769856 = 3024^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×13914432² = 387222835765248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13914396 and 13914405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13914431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479794 + ... + 479822.

Almost surely, 2^13914432 is an apocalyptic number.

13914432 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 13914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408890).

13914432 is an abundant number, since it is smaller than the sum of its proper divisors (36903348).

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

13914432 is a wasteful number, since it uses less digits than its factorization.

13914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13914432 is about 3730.2053562773. The cubic root of 13914432 is about 240.5221963052.

The spelling of 13914432 in words is "thirteen million, nine hundred fourteen thousand, four hundred thirty-two".