7486640 has 80 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 2472960.

The previous prime is 7486631. The next prime is 7486649. The reversal of 7486640 is 466847.

It is an interprime number because it is at equal distance from previous prime (7486631) and next prime (7486649).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 7486640.

It is not an unprimeable number, because it can be changed into a prime (7486649) 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 15 ways as a sum of consecutive naturals, for example, 16010 + ... + 16470.

It is an arithmetic number, because the mean of its divisors is an integer number (257796).

Almost surely, 2^7486640 is an apocalyptic number.

7486640 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 7486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

7486640 is an abundant number, since it is smaller than the sum of its proper divisors (13137040).

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

7486640 is a wasteful number, since it uses less digits than its factorization.

7486640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 7486640 is about 2736.1725091814. The cubic root of 7486640 is about 195.6270849060.

The spelling of 7486640 in words is "seven million, four hundred eighty-six thousand, six hundred forty".