13752640 has 56 divisors (see below), whose sum is σ = 35734752. Its totient is φ = 4999680.

The previous prime is 13752631. The next prime is 13752649. The reversal of 13752640 is 4625731.

13752640 = T₃₂₃ + T₃₂₄ + ... + T₄₈₇.

It is an interprime number because it is at equal distance from previous prime (13752631) and next prime (13752649).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13752599 and 13752608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13752649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 5473.

Almost surely, 2^13752640 is an apocalyptic number.

13752640 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 13752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867376).

13752640 is an abundant number, since it is smaller than the sum of its proper divisors (21982112).

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

13752640 is a wasteful number, since it uses less digits than its factorization.

13752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 13752640 is about 3708.4552039899. The cubic root of 13752640 is about 239.5863244155.

The spelling of 13752640 in words is "thirteen million, seven hundred fifty-two thousand, six hundred forty".