985227264 has 336 divisors, whose sum is σ = 3434925312. Its totient is φ = 266010624.

The previous prime is 985227263. The next prime is 985227323. The reversal of 985227264 is 462722589.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985227263) 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 23 ways as a sum of consecutive naturals, for example, 11870167 + ... + 11870249.

It is an arithmetic number, because the mean of its divisors is an integer number (10222992).

Almost surely, 2^985227264 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 985227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717462656).

985227264 is an abundant number, since it is smaller than the sum of its proper divisors (2449698048).

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

985227264 is a wasteful number, since it uses less digits than its factorization.

985227264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 985227264 is about 31388.3300607089. The cubic root of 985227264 is about 995.0513054864.

The spelling of 985227264 in words is "nine hundred eighty-five million, two hundred twenty-seven thousand, two hundred sixty-four".