7994560 has 112 divisors (see below), whose sum is σ = 22530816. Its totient is φ = 2644992.

The previous prime is 7994557. The next prime is 7994617. The reversal of 7994560 is 654997.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96279 + ... + 96361.

It is an arithmetic number, because the mean of its divisors is an integer number (201168).

Almost surely, 2^7994560 is an apocalyptic number.

7994560 is a gapful number since it is divisible by the number (70) 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 7994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265408).

7994560 is an abundant number, since it is smaller than the sum of its proper divisors (14536256).

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

7994560 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (7994559) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (140).

7994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 7994560 is about 2827.4652959851. The cubic root of 7994560 is about 199.9546563872.

The spelling of 7994560 in words is "seven million, nine hundred ninety-four thousand, five hundred sixty".