853296640 has 160 divisors (see below), whose sum is σ = 2476609344. Its totient is φ = 275251200.

The previous prime is 853296637. The next prime is 853296641. The reversal of 853296640 is 46692358.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853296641) 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 15 ways as a sum of consecutive naturals, for example, 303240 + ... + 306040.

Almost surely, 2^853296640 is an apocalyptic number.

853296640 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 853296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238304672).

853296640 is an abundant number, since it is smaller than the sum of its proper divisors (1623312704).

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

853296640 is a wasteful number, since it uses less digits than its factorization.

853296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 853296640 is about 29211.2416716578. The cubic root of 853296640 is about 948.4912857658.

The spelling of 853296640 in words is "eight hundred fifty-three million, two hundred ninety-six thousand, six hundred forty".