2368968 has 64 divisors (see below), whose sum is σ = 6912000. Its totient is φ = 662592.

The previous prime is 2368963. The next prime is 2368979. The reversal of 2368968 is 8698632.

It is a super-2 number, since 2×2368968² = 11224018770048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2368963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9793 + ... + 10031.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

2^2368968 is an apocalyptic number.

2368968 is a gapful number since it is divisible by the number (28) 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 2368968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456000).

2368968 is an abundant number, since it is smaller than the sum of its proper divisors (4543032).

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

2368968 is a wasteful number, since it uses less digits than its factorization.

2368968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 2368968 is about 1539.1452173203. The cubic root of 2368968 is about 133.3070337017.

The spelling of 2368968 in words is "two million, three hundred sixty-eight thousand, nine hundred sixty-eight".