13649040 has 160 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 3548160.

The previous prime is 13649033. The next prime is 13649047. The reversal of 13649040 is 4094631.

13649040 is a `hidden beast` number, since 13 + 649 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13649033) and next prime (13649047).

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 = 13648995 and 13649013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13649047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 153316 + ... + 153404.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 2^13649040 is an apocalyptic number.

13649040 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 13649040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

13649040 is an abundant number, since it is smaller than the sum of its proper divisors (34562160).

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

13649040 is a wasteful number, since it uses less digits than its factorization.

13649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13649040 is about 3694.4607184270. The cubic root of 13649040 is about 238.9831982260.

It can be divided in two parts, 1364 and 9040, that added together give a square (10404 = 102²).

The spelling of 13649040 in words is "thirteen million, six hundred forty-nine thousand, forty".