85835680 has 96 divisors (see below), whose sum is σ = 233622144. Its totient is φ = 29193216.

The previous prime is 85835657. The next prime is 85835681. The reversal of 85835680 is 8653858.

It is a super-2 number, since 2×85835680² = 14735527922124800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85835681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193539 + ... + 193981.

It is an arithmetic number, because the mean of its divisors is an integer number (2433564).

Almost surely, 2^85835680 is an apocalyptic number.

85835680 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 85835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116811072).

85835680 is an abundant number, since it is smaller than the sum of its proper divisors (147786464).

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

85835680 is a wasteful number, since it uses less digits than its factorization.

85835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 85835680 is about 9264.7547188255. The cubic root of 85835680 is about 441.1191893700.

The spelling of 85835680 in words is "eighty-five million, eight hundred thirty-five thousand, six hundred eighty".