8052968 has 64 divisors (see below), whose sum is σ = 19958400. Its totient is φ = 2949120.

The previous prime is 8052953. The next prime is 8052971. The reversal of 8052968 is 8692508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10088 + ... + 10856.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 2^8052968 is an apocalyptic number.

8052968 is a gapful number since it is divisible by the number (88) 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 8052968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979200).

8052968 is an abundant number, since it is smaller than the sum of its proper divisors (11905432).

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

8052968 is a wasteful number, since it uses less digits than its factorization.

8052968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 8052968 is about 2837.7751848940. The cubic root of 8052968 is about 200.4404293978.

It can be divided in two parts, 805 and 2968, that added together give a palindrome (3773).

The spelling of 8052968 in words is "eight million, fifty-two thousand, nine hundred sixty-eight".