822111264 has 144 divisors (see below), whose sum is σ = 2627456832. Its totient is φ = 241933824.

The previous prime is 822111253. The next prime is 822111299. The reversal of 822111264 is 462111228.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81339 + ... + 90885.

It is an arithmetic number, because the mean of its divisors is an integer number (18246228).

Almost surely, 2^822111264 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 822111264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313728416).

822111264 is an abundant number, since it is smaller than the sum of its proper divisors (1805345568).

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

822111264 is a wasteful number, since it uses less digits than its factorization.

822111264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9599 (or 9588 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 822111264 is about 28672.4826968297. The cubic root of 822111264 is about 936.7927756368.

The spelling of 822111264 in words is "eight hundred twenty-two million, one hundred eleven thousand, two hundred sixty-four".