13864032 has 216 divisors, whose sum is σ = 50725584. Its totient is φ = 3497472.

The previous prime is 13864031. The next prime is 13864033. The reversal of 13864032 is 23046831.

It is a happy number.

13864032 is a `hidden beast` number, since 13 + 8 + 640 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13864031) and next prime (13864033).

It is a super-2 number, since 2×13864032² = 384422766594048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13863987 and 13864005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13864031) 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, 602773 + ... + 602795.

Almost surely, 2^13864032 is an apocalyptic number.

13864032 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 13864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25362792).

13864032 is an abundant number, since it is smaller than the sum of its proper divisors (36861552).

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

13864032 is a wasteful number, since it uses less digits than its factorization.

13864032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13864032 is about 3723.4435674520. The cubic root of 13864032 is about 240.2314434031.

The spelling of 13864032 in words is "thirteen million, eight hundred sixty-four thousand, thirty-two".