853735680 has 288 divisors, whose sum is σ = 3463353600. Its totient is φ = 195084288.

The previous prime is 853735627. The next prime is 853735681. The reversal of 853735680 is 86537358.

853735680 is a `hidden beast` number, since 8 + 537 + 35 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×853735680² = 1457729222610124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853735681) 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 31 ways as a sum of consecutive naturals, for example, 240156 + ... + 243684.

Almost surely, 2^853735680 is an apocalyptic number.

853735680 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 853735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731676800).

853735680 is an abundant number, since it is smaller than the sum of its proper divisors (2609617920).

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

853735680 is a wasteful number, since it uses less digits than its factorization.

853735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 853735680 is about 29218.7556203203. The cubic root of 853735680 is about 948.6539311246.

The spelling of 853735680 in words is "eight hundred fifty-three million, seven hundred thirty-five thousand, six hundred eighty".