853074320 has 120 divisors (see below), whose sum is σ = 2318657400. Its totient is φ = 291035136.

The previous prime is 853074317. The next prime is 853074323. The reversal of 853074320 is 23470358.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (853074317) and next prime (853074323).

It can be written as a sum of positive squares in 4 ways, for example, as 62789776 + 790284544 = 7924^2 + 28112^2 .

It is not an unprimeable number, because it can be changed into a prime (853074323) 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 23 ways as a sum of consecutive naturals, for example, 1054076 + ... + 1054884.

It is an arithmetic number, because the mean of its divisors is an integer number (19322145).

Almost surely, 2^853074320 is an apocalyptic number.

853074320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853074320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159328700).

853074320 is an abundant number, since it is smaller than the sum of its proper divisors (1465583080).

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

853074320 is a wasteful number, since it uses less digits than its factorization.

853074320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 853074320 is about 29207.4360394746. The cubic root of 853074320 is about 948.4089045286.

The spelling of 853074320 in words is "eight hundred fifty-three million, seventy-four thousand, three hundred twenty".