7947160 has 128 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 2580480.

The previous prime is 7947157. The next prime is 7947169. The reversal of 7947160 is 617497.

7947160 = T₅₃ + T₅₄ + ... + T₃₆₂.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7947169) 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 31 ways as a sum of consecutive naturals, for example, 256345 + ... + 256375.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^7947160 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 7947160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

7947160 is an abundant number, since it is smaller than the sum of its proper divisors (13825640).

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

7947160 is a wasteful number, since it uses less digits than its factorization.

7947160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 7947160 is about 2819.0707688882. The cubic root of 7947160 is about 199.5586936263.

The spelling of 7947160 in words is "seven million, nine hundred forty-seven thousand, one hundred sixty".