13772440 has 64 divisors (see below), whose sum is σ = 34227360. Its totient is φ = 4945920.

The previous prime is 13772411. The next prime is 13772443. The reversal of 13772440 is 4427731.

It is a junction number, because it is equal to n+sod(n) for n = 13772399 and 13772408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13772443) 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, 49582 + ... + 49858.

Almost surely, 2^13772440 is an apocalyptic number.

13772440 is a gapful number since it is divisible by the number (10) 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 13772440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113680).

13772440 is an abundant number, since it is smaller than the sum of its proper divisors (20454920).

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

13772440 is a wasteful number, since it uses less digits than its factorization.

13772440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 13772440 is about 3711.1238190069. The cubic root of 13772440 is about 239.7012486398.

The spelling of 13772440 in words is "thirteen million, seven hundred seventy-two thousand, four hundred forty".