13770432 has 112 divisors (see below), whose sum is σ = 43667680. Its totient is φ = 4230144.

The previous prime is 13770409. The next prime is 13770437. The reversal of 13770432 is 23407731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13770396 and 13770405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13770437) 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, 22158 + ... + 22770.

It is an arithmetic number, because the mean of its divisors is an integer number (389890).

Almost surely, 2^13770432 is an apocalyptic number.

13770432 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 13770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833840).

13770432 is an abundant number, since it is smaller than the sum of its proper divisors (29897248).

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

13770432 is a wasteful number, since it uses less digits than its factorization.

13770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13770432 is about 3710.8532711494. The cubic root of 13770432 is about 239.6895987191.

The spelling of 13770432 in words is "thirteen million, seven hundred seventy thousand, four hundred thirty-two".