6862968 has 160 divisors (see below), whose sum is σ = 23522400. Its totient is φ = 1824768.

The previous prime is 6862963. The next prime is 6862969. The reversal of 6862968 is 8692686.

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 (6862963) 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 39 ways as a sum of consecutive naturals, for example, 77068 + ... + 77156.

It is an arithmetic number, because the mean of its divisors is an integer number (147015).

Almost surely, 2^6862968 is an apocalyptic number.

6862968 is a gapful number since it is divisible by the number (68) 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 6862968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761200).

6862968 is an abundant number, since it is smaller than the sum of its proper divisors (16659432).

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

6862968 is a wasteful number, since it uses less digits than its factorization.

6862968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 6862968 is about 2619.7267033032. The cubic root of 6862968 is about 190.0366319028.

It can be divided in two parts, 68 and 62968, that multiplied together give a palindrome (4281824).

The spelling of 6862968 in words is "six million, eight hundred sixty-two thousand, nine hundred sixty-eight".