2623968 has 48 divisors (see below), whose sum is σ = 7655760. Its totient is φ = 874368.

The previous prime is 2623939. The next prime is 2623969. The reversal of 2623968 is 8693262.

2623968 is a `hidden beast` number, since 262 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁹ + 6² + 2²¹ + 3⁷ + 9² + 6³ + 8 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2623969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655 + ... + 2382.

It is an arithmetic number, because the mean of its divisors is an integer number (159495).

2^2623968 is an apocalyptic number.

It is an amenable number.

2623968 is an abundant number, since it is smaller than the sum of its proper divisors (5031792).

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

2623968 is a wasteful number, since it uses less digits than its factorization.

2623968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3042 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2623968 is about 1619.8666611792. The cubic root of 2623968 is about 137.9281289273.

The spelling of 2623968 in words is "two million, six hundred twenty-three thousand, nine hundred sixty-eight".