853672064 has 64 divisors (see below), whose sum is σ = 1975617600. Its totient is φ = 359838720.

The previous prime is 853672063. The next prime is 853672067. The reversal of 853672064 is 460276358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (853672063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46847 + ... + 62465.

It is an arithmetic number, because the mean of its divisors is an integer number (30869025).

Almost surely, 2^853672064 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 853672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987808800).

853672064 is an abundant number, since it is smaller than the sum of its proper divisors (1121945536).

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

853672064 is a wasteful number, since it uses less digits than its factorization.

853672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15701 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 853672064 is about 29217.6669842067. Note that the first 3 decimals coincide. The cubic root of 853672064 is about 948.6303675991.

The spelling of 853672064 in words is "eight hundred fifty-three million, six hundred seventy-two thousand, sixty-four".