85849830 has 96 divisors (see below), whose sum is σ = 257875488. Its totient is φ = 19584000.

The previous prime is 85849807. The next prime is 85849837. The reversal of 85849830 is 3894858.

It is a super-2 number, since 2×85849830² = 14740386622057800, 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 (85849837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14280 + ... + 19380.

It is an arithmetic number, because the mean of its divisors is an integer number (2686203).

Almost surely, 2^85849830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85849830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128937744).

85849830 is an abundant number, since it is smaller than the sum of its proper divisors (172025658).

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

85849830 is a wasteful number, since it uses less digits than its factorization.

85849830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 85849830 is about 9265.5183341246. The cubic root of 85849830 is about 441.1434275174.

The spelling of 85849830 in words is "eighty-five million, eight hundred forty-nine thousand, eight hundred thirty".