7386960 has 80 divisors (see below), whose sum is σ = 26176896. Its totient is φ = 1688064.

The previous prime is 7386947. The next prime is 7386961. The reversal of 7386960 is 696837.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7386961) 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, 519 + ... + 3878.

Almost surely, 2^7386960 is an apocalyptic number.

7386960 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 7386960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13088448).

7386960 is an abundant number, since it is smaller than the sum of its proper divisors (18789936).

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

7386960 is a wasteful number, since it uses less digits than its factorization.

7386960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 7386960 is about 2717.8962452603. The cubic root of 7386960 is about 194.7549848410.

The spelling of 7386960 in words is "seven million, three hundred eighty-six thousand, nine hundred sixty".