7268580 has 72 divisors (see below), whose sum is σ = 24058944. Its totient is φ = 1761600.

The previous prime is 7268567. The next prime is 7268581. The reversal of 7268580 is 858627.

7268580 is a `hidden beast` number, since 72 + 6 + 8 + 580 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7268581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145 + ... + 3815.

It is an arithmetic number, because the mean of its divisors is an integer number (334152).

Almost surely, 2^7268580 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 7268580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029472).

7268580 is an abundant number, since it is smaller than the sum of its proper divisors (16790364).

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

7268580 is a wasteful number, since it uses less digits than its factorization.

7268580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7268580 is about 2696.0304152587. The cubic root of 7268580 is about 193.7090263686.

The spelling of 7268580 in words is "seven million, two hundred sixty-eight thousand, five hundred eighty".