85235280 has 160 divisors (see below), whose sum is σ = 301480704. Its totient is φ = 19734528.

The previous prime is 85235261. The next prime is 85235303. The reversal of 85235280 is 8253258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52237 + ... + 53843.

Almost surely, 2^85235280 is an apocalyptic number.

85235280 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 85235280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150740352).

85235280 is an abundant number, since it is smaller than the sum of its proper divisors (216245424).

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

85235280 is a wasteful number, since it uses less digits than its factorization.

85235280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85235280 is about 9232.2954892053. The cubic root of 85235280 is about 440.0882742999.

The spelling of 85235280 in words is "eighty-five million, two hundred thirty-five thousand, two hundred eighty".