2792664 has 64 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 797472.

The previous prime is 2792663. The next prime is 2792687. The reversal of 2792664 is 4662972.

It is a happy number.

2792664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (138600).

2^2792664 is an apocalyptic number.

2792664 is a gapful number since it is divisible by the number (24) 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 2792664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

2792664 is an abundant number, since it is smaller than the sum of its proper divisors (6077736).

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

2792664 is a wasteful number, since it uses less digits than its factorization.

2792664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1859 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2792664 is about 1671.1265661224. The cubic root of 2792664 is about 140.8227741656.

The spelling of 2792664 in words is "two million, seven hundred ninety-two thousand, six hundred sixty-four".