4138764 has 48 divisors (see below), whose sum is σ = 11424000. Its totient is φ = 1141056.

The previous prime is 4138753. The next prime is 4138777. The reversal of 4138764 is 4678314.

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, 1587 + ... + 3285.

It is an arithmetic number, because the mean of its divisors is an integer number (238000).

Almost surely, 2^4138764 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 4138764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712000).

4138764 is an abundant number, since it is smaller than the sum of its proper divisors (7285236).

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

4138764 is a wasteful number, since it uses less digits than its factorization.

4138764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1740 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 4138764 is about 2034.3952418348. The cubic root of 4138764 is about 160.5548962554.

The spelling of 4138764 in words is "four million, one hundred thirty-eight thousand, seven hundred sixty-four".