7946640 has 160 divisors (see below), whose sum is σ = 29581440. Its totient is φ = 1949184.

The previous prime is 7946639. The next prime is 7946641. The reversal of 7946640 is 466497.

7946640 is a `hidden beast` number, since 7 + 9 + 4 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (7946639) and next prime (7946641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7946595 and 7946604.

It is not an unprimeable number, because it can be changed into a prime (7946641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27939 + ... + 28221.

It is an arithmetic number, because the mean of its divisors is an integer number (184884).

Almost surely, 2^7946640 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 7946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790720).

7946640 is an abundant number, since it is smaller than the sum of its proper divisors (21634800).

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

7946640 is a wasteful number, since it uses less digits than its factorization.

7946640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7946640 is about 2818.9785384071. The cubic root of 7946640 is about 199.5543410113.

The spelling of 7946640 in words is "seven million, nine hundred forty-six thousand, six hundred forty".