2359968 has 96 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 691200.

The previous prime is 2359963. The next prime is 2359993. The reversal of 2359968 is 8699532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2359968² = 11138897922048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2359963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38658 + ... + 38718.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

2^2359968 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 2359968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776).

2359968 is an abundant number, since it is smaller than the sum of its proper divisors (4639584).

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

2359968 is a wasteful number, since it uses less digits than its factorization.

2359968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 2359968 is about 1536.2187344255. The cubic root of 2359968 is about 133.1380028737.

The spelling of 2359968 in words is "two million, three hundred fifty-nine thousand, nine hundred sixty-eight".