13649440 has 72 divisors (see below), whose sum is σ = 37533132. Its totient is φ = 4677120.

The previous prime is 13649431. The next prime is 13649483. The reversal of 13649440 is 4494631.

It can be written as a sum of positive squares in 2 ways, for example, as 11102224 + 2547216 = 3332^2 + 1596^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6970 + ... + 8710.

Almost surely, 2^13649440 is an apocalyptic number.

13649440 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 13649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18766566).

13649440 is an abundant number, since it is smaller than the sum of its proper divisors (23883692).

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

13649440 is a wasteful number, since it uses less digits than its factorization.

13649440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 13649440 is about 3694.5148531302. The cubic root of 13649440 is about 238.9855327576.

The spelling of 13649440 in words is "thirteen million, six hundred forty-nine thousand, four hundred forty".