13764120 has 64 divisors (see below), whose sum is σ = 43096320. Its totient is φ = 3510144.

The previous prime is 13764119. The next prime is 13764137. The reversal of 13764120 is 2146731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 267 + ... + 5253.

It is an arithmetic number, because the mean of its divisors is an integer number (673380).

Almost surely, 2^13764120 is an apocalyptic number.

13764120 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 13764120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21548160).

13764120 is an abundant number, since it is smaller than the sum of its proper divisors (29332200).

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

13764120 is a wasteful number, since it uses less digits than its factorization.

13764120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13764120 is about 3710.0026954168. The cubic root of 13764120 is about 239.6529706751.

The spelling of 13764120 in words is "thirteen million, seven hundred sixty-four thousand, one hundred twenty".