7947568 has 40 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 3671040.

The previous prime is 7947553. The next prime is 7947587. The reversal of 7947568 is 8657497.

It is a happy number.

It is a super-2 number, since 2×7947568² = 126327674229248, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7⁴ + 9⁵ + 4⁷ + 7⁸ + 5 + 6⁵ + 8⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16353 + ... + 16831.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 2^7947568 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 7947568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

7947568 is an abundant number, since it is smaller than the sum of its proper divisors (8658512).

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

7947568 is a wasteful number, since it uses less digits than its factorization.

7947568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The square root of 7947568 is about 2819.1431322301. The cubic root of 7947568 is about 199.5621086221.

It can be divided in two parts, 7947 and 568, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 7947568 in words is "seven million, nine hundred forty-seven thousand, five hundred sixty-eight".