2567796 has 72 divisors (see below), whose sum is σ = 7622496. Its totient is φ = 665280.

The previous prime is 2567783. The next prime is 2567801. The reversal of 2567796 is 6977652.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (158760) is a multiple of the sum of its prime divisors (420).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6270 + ... + 6666.

It is an arithmetic number, because the mean of its divisors is an integer number (105868).

2^2567796 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 2567796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811248).

2567796 is an abundant number, since it is smaller than the sum of its proper divisors (5054700).

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

2567796 is a wasteful number, since it uses less digits than its factorization.

2567796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 2567796 is about 1602.4343980332. The cubic root of 2567796 is about 136.9367993071.

The spelling of 2567796 in words is "two million, five hundred sixty-seven thousand, seven hundred ninety-six".