13746240 has 224 divisors, whose sum is σ = 50962560. Its totient is φ = 3483648.

The previous prime is 13746209. The next prime is 13746247. The reversal of 13746240 is 4264731.

13746240 is a `hidden beast` number, since 1 + 37 + 4 + 624 + 0 = 666.

It is a super-2 number, since 2×13746240² = 377918228275200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13746247) 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, 319659 + ... + 319701.

Almost surely, 2^13746240 is an apocalyptic number.

13746240 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 13746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25481280).

13746240 is an abundant number, since it is smaller than the sum of its proper divisors (37216320).

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

13746240 is a wasteful number, since it uses less digits than its factorization.

13746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13746240 is about 3707.5922105863. The cubic root of 13746240 is about 239.5491536034.

The spelling of 13746240 in words is "thirteen million, seven hundred forty-six thousand, two hundred forty".