7486680 has 64 divisors (see below), whose sum is σ = 22744800. Its totient is φ = 1971200.

The previous prime is 7486673. The next prime is 7486693. The reversal of 7486680 is 866847.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10330 + ... + 11030.

Almost surely, 2^7486680 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 7486680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11372400).

7486680 is an abundant number, since it is smaller than the sum of its proper divisors (15258120).

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

7486680 is a wasteful number, since it uses less digits than its factorization.

7486680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 7486680 is about 2736.1798186523. The cubic root of 7486680 is about 195.6274333075.

The spelling of 7486680 in words is "seven million, four hundred eighty-six thousand, six hundred eighty".