13812240 has 160 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 3207168.

The previous prime is 13812233. The next prime is 13812263. The reversal of 13812240 is 4221831.

13812240 = T₂₀ + T₂₁ + ... + T₄₃₅.

13812240 = 118² + 119² + ... + 350².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59164 + ... + 59396.

It is an arithmetic number, because the mean of its divisors is an integer number (304668).

Almost surely, 2^13812240 is an apocalyptic number.

13812240 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 13812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

13812240 is an abundant number, since it is smaller than the sum of its proper divisors (34934640).

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

13812240 is a wasteful number, since it uses less digits than its factorization.

13812240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13812240 is about 3716.4822076797. The cubic root of 13812240 is about 239.9319251372.

The spelling of 13812240 in words is "thirteen million, eight hundred twelve thousand, two hundred forty".