2616864 has 24 divisors (see below), whose sum is σ = 6869520. Its totient is φ = 872256.

The previous prime is 2616863. The next prime is 2616869. The reversal of 2616864 is 4686162.

It is a happy number.

2616864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (2616863) 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 3 ways as a sum of consecutive naturals, for example, 13534 + ... + 13725.

It is an arithmetic number, because the mean of its divisors is an integer number (286230).

2^2616864 is an apocalyptic number.

2616864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2616864 is an abundant number, since it is smaller than the sum of its proper divisors (4252656).

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

2616864 is a wasteful number, since it uses less digits than its factorization.

2616864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27272 (or 27264 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2616864 is about 1617.6724019405. The cubic root of 2616864 is about 137.8035431831.

The spelling of 2616864 in words is "two million, six hundred sixteen thousand, eight hundred sixty-four".