85830264 has 96 divisors (see below), whose sum is σ = 252972720. Its totient is φ = 26131968.

The previous prime is 85830259. The next prime is 85830271. The reversal of 85830264 is 46203858.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99724 + ... + 100580.

Almost surely, 2^85830264 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 85830264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126486360).

85830264 is an abundant number, since it is smaller than the sum of its proper divisors (167142456).

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

85830264 is a wasteful number, since it uses less digits than its factorization.

85830264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85830264 is about 9264.4624236919. The cubic root of 85830264 is about 441.1099113644.

The spelling of 85830264 in words is "eighty-five million, eight hundred thirty thousand, two hundred sixty-four".