13764432 has 80 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 4118400.

The previous prime is 13764431. The next prime is 13764433. The reversal of 13764432 is 23446731.

It is an interprime number because it is at equal distance from previous prime (13764431) and next prime (13764433).

It is a self number, because there is not a number n which added to its sum of digits gives 13764432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13764431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69069 + ... + 69267.

It is an arithmetic number, because the mean of its divisors is an integer number (491040).

Almost surely, 2^13764432 is an apocalyptic number.

13764432 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 13764432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

13764432 is an abundant number, since it is smaller than the sum of its proper divisors (25518768).

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

13764432 is a wasteful number, since it uses less digits than its factorization.

13764432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 13764432 is about 3710.0447436655. The cubic root of 13764432 is about 239.6547814498.

It can be divided in two parts, 13764 and 432, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 13764432 in words is "thirteen million, seven hundred sixty-four thousand, four hundred thirty-two".