13649220 has 144 divisors (see below), whose sum is σ = 47087040. Its totient is φ = 3172608.

The previous prime is 13649213. The next prime is 13649231. The reversal of 13649220 is 2294631.

13649220 = 101² + 102² + ... + 347².

13649220 is a `hidden beast` number, since 13 + 649 + 2 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44307 + ... + 44613.

Almost surely, 2^13649220 is an apocalyptic number.

13649220 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 13649220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543520).

13649220 is an abundant number, since it is smaller than the sum of its proper divisors (33437820).

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

13649220 is a wasteful number, since it uses less digits than its factorization.

13649220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

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

The square root of 13649220 is about 3694.4850791416. The cubic root of 13649220 is about 238.9842487708.

The spelling of 13649220 in words is "thirteen million, six hundred forty-nine thousand, two hundred twenty".