927264 has 48 divisors (see below), whose sum is σ = 2624832. Its totient is φ = 284928.

The previous prime is 927259. The next prime is 927287. The reversal of 927264 is 462729.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 9⁵ + 2⁵ + 2¹⁵ + 7⁷ + 6⁵ + 4⁶ .

It is an unprimeable number.

927264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2⁹²⁷²⁶⁴ 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 927264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416).

927264 is an abundant number, since it is smaller than the sum of its proper divisors (1697568).

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

927264 is a wasteful number, since it uses less digits than its factorization.

927264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 927264 is about 962.9454813228. The cubic root of 927264 is about 97.5141859701.

The spelling of 927264 in words is "nine hundred twenty-seven thousand, two hundred sixty-four".