85832700 has 72 divisors (see below), whose sum is σ = 249650688. Its totient is φ = 22768320.

The previous prime is 85832699. The next prime is 85832701. The reversal of 85832700 is 723858.

It is an interprime number because it is at equal distance from previous prime (85832699) and next prime (85832701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85832701) 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 23 ways as a sum of consecutive naturals, for example, 66259 + ... + 67541.

Almost surely, 2^85832700 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 85832700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124825344).

85832700 is an abundant number, since it is smaller than the sum of its proper divisors (163817988).

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

85832700 is a wasteful number, since it uses less digits than its factorization.

85832700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 85832700 is about 9264.5938928806. The cubic root of 85832700 is about 441.1140844595.

The spelling of 85832700 in words is "eighty-five million, eight hundred thirty-two thousand, seven hundred".