13764140 has 48 divisors (see below), whose sum is σ = 31413312. Its totient is φ = 5035776.

The previous prime is 13764137. The next prime is 13764167. The reversal of 13764140 is 4146731.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43262 + ... + 43578.

It is an arithmetic number, because the mean of its divisors is an integer number (654444).

Almost surely, 2^13764140 is an apocalyptic number.

13764140 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 13764140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15706656).

13764140 is an abundant number, since it is smaller than the sum of its proper divisors (17649172).

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

13764140 is a wasteful number, since it uses less digits than its factorization.

13764140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 13764140 is about 3710.0053908317. The cubic root of 13764140 is about 239.6530867512.

The spelling of 13764140 in words is "thirteen million, seven hundred sixty-four thousand, one hundred forty".