13752630 has 48 divisors (see below), whose sum is σ = 36638784. Its totient is φ = 3576960.

The previous prime is 13752619. The next prime is 13752631. The reversal of 13752630 is 3625731.

It is a happy number.

13752630 is a `hidden beast` number, since 137 + 526 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13752594 and 13752603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13752631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1827 + ... + 5553.

It is an arithmetic number, because the mean of its divisors is an integer number (763308).

Almost surely, 2^13752630 is an apocalyptic number.

13752630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13752630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319392).

13752630 is an abundant number, since it is smaller than the sum of its proper divisors (22886154).

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

13752630 is a wasteful number, since it uses less digits than its factorization.

13752630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 13752630 is about 3708.4538557194. The cubic root of 13752630 is about 239.5862663451.

It can be divided in two parts, 1375 and 2630, that added together give a triangular number (4005 = T₈₉).

The spelling of 13752630 in words is "thirteen million, seven hundred fifty-two thousand, six hundred thirty".