13800752 has 60 divisors (see below), whose sum is σ = 32230080. Its totient is φ = 5701248.

The previous prime is 13800737. The next prime is 13800757. The reversal of 13800752 is 25700831.

13800752 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (13800757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22433 + ... + 23039.

It is an arithmetic number, because the mean of its divisors is an integer number (537168).

Almost surely, 2^13800752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13800752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115040).

13800752 is an abundant number, since it is smaller than the sum of its proper divisors (18429328).

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

13800752 is a wasteful number, since it uses less digits than its factorization.

13800752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 13800752 is about 3714.9363386201. The cubic root of 13800752 is about 239.8653874749.

The spelling of 13800752 in words is "thirteen million, eight hundred thousand, seven hundred fifty-two".