85268700 has 324 divisors, whose sum is σ = 315162120. Its totient is φ = 19958400.

The previous prime is 85268647. The next prime is 85268731. The reversal of 85268700 is 786258.

It is a tau number, because it is divible by the number of its divisors (324).

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 107 ways as a sum of consecutive naturals, for example, 2940286 + ... + 2940314.

Almost surely, 2^85268700 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 85268700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157581060).

85268700 is an abundant number, since it is smaller than the sum of its proper divisors (229893420).

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

85268700 is a wasteful number, since it uses less digits than its factorization.

85268700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85268700 is about 9234.1052625579. The cubic root of 85268700 is about 440.1457850251.

The spelling of 85268700 in words is "eighty-five million, two hundred sixty-eight thousand, seven hundred".