7266600 has 144 divisors (see below), whose sum is σ = 26694720. Its totient is φ = 1756800.

The previous prime is 7266557. The next prime is 7266601. The reversal of 7266600 is 66627.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (7266601) 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 35 ways as a sum of consecutive naturals, for example, 19617 + ... + 19983.

It is an arithmetic number, because the mean of its divisors is an integer number (185380).

Almost surely, 2^7266600 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 7266600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347360).

7266600 is an abundant number, since it is smaller than the sum of its proper divisors (19428120).

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

7266600 is a wasteful number, since it uses less digits than its factorization.

7266600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 7266600 is about 2695.6631837082. The cubic root of 7266600 is about 193.6914356469.

Adding to 7266600 its sum of digits (27), we get a palindrome (7266627).

The spelling of 7266600 in words is "seven million, two hundred sixty-six thousand, six hundred".