13781632 has 32 divisors (see below), whose sum is σ = 27882720. Its totient is φ = 6783744.

The previous prime is 13781591. The next prime is 13781653. The reversal of 13781632 is 23618731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 13781594 and 13781603.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7773 + ... + 9379.

It is an arithmetic number, because the mean of its divisors is an integer number (871335).

Almost surely, 2^13781632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941360).

13781632 is an abundant number, since it is smaller than the sum of its proper divisors (14101088).

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

13781632 is an equidigital number, since it uses as much as digits as its factorization.

13781632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1676 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 13781632 is about 3712.3620513091. The cubic root of 13781632 is about 239.7545639051.

The spelling of 13781632 in words is "thirteen million, seven hundred eighty-one thousand, six hundred thirty-two".