7618640 has 20 divisors (see below), whose sum is σ = 17713524. Its totient is φ = 3047424.

The previous prime is 7618621. The next prime is 7618649. The reversal of 7618640 is 468167.

It can be written as a sum of positive squares in 2 ways, for example, as 2347024 + 5271616 = 1532^2 + 2296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 7618597 and 7618606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7618649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47537 + ... + 47696.

Almost surely, 2^7618640 is an apocalyptic number.

It is an amenable number.

7618640 is an abundant number, since it is smaller than the sum of its proper divisors (10094884).

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

7618640 is a wasteful number, since it uses less digits than its factorization.

7618640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95246 (or 95240 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7618640 is about 2760.1883993670. The cubic root of 7618640 is about 196.7701201689.

The spelling of 7618640 in words is "seven million, six hundred eighteen thousand, six hundred forty".