906601300 has 36 divisors (see below), whose sum is σ = 2146175136. Its totient is φ = 329672800.

The previous prime is 906601291. The next prime is 906601303. The reversal of 906601300 is 3106609.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906601303) 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 11 ways as a sum of consecutive naturals, for example, 410992 + ... + 413191.

It is an arithmetic number, because the mean of its divisors is an integer number (59615976).

Almost surely, 2^906601300 is an apocalyptic number.

It is an amenable number.

906601300 is an abundant number, since it is smaller than the sum of its proper divisors (1239573836).

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

906601300 is a wasteful number, since it uses less digits than its factorization.

906601300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824208 (or 824201 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 906601300 is about 30109.8206570547. The cubic root of 906601300 is about 967.8441866665.

Adding to 906601300 its reverse (3106609), we get a palindrome (909707909).

It can be divided in two parts, 906 and 601300, that added together give a palindrome (602206).

The spelling of 906601300 in words is "nine hundred six million, six hundred one thousand, three hundred".