13764740 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 4561920.

The previous prime is 13764739. The next prime is 13764757. The reversal of 13764740 is 4746731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13764697 and 13764706.

It is an unprimeable number.

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, 154616 + ... + 154704.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^13764740 is an apocalyptic number.

13764740 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 13764740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

13764740 is an abundant number, since it is smaller than the sum of its proper divisors (20708860).

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

13764740 is a wasteful number, since it uses less digits than its factorization.

13764740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 13764740 is about 3710.0862523666. The cubic root of 13764740 is about 239.6565689827.

Subtracting from 13764740 its reverse (4746731), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 1376 and 4740, that added together give a palindrome (6116).

The spelling of 13764740 in words is "thirteen million, seven hundred sixty-four thousand, seven hundred forty".