85282560 has 216 divisors, whose sum is σ = 322371504. Its totient is φ = 20643840.

The previous prime is 85282541. The next prime is 85282567. The reversal of 85282560 is 6528258.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85282567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126384 + ... + 127056.

Almost surely, 2^85282560 is an apocalyptic number.

85282560 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 85282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161185752).

85282560 is an abundant number, since it is smaller than the sum of its proper divisors (237088944).

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

85282560 is a wasteful number, since it uses less digits than its factorization.

85282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85282560 is about 9234.8557108382. The cubic root of 85282560 is about 440.1696315639.

The spelling of 85282560 in words is "eighty-five million, two hundred eighty-two thousand, five hundred sixty".