85527360 has 224 divisors, whose sum is σ = 318211200. Its totient is φ = 21565440.

The previous prime is 85527349. The next prime is 85527397. The reversal of 85527360 is 6372558.

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 31 ways as a sum of consecutive naturals, for example, 163900 + ... + 164420.

Almost surely, 2^85527360 is an apocalyptic number.

85527360 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 85527360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159105600).

85527360 is an abundant number, since it is smaller than the sum of its proper divisors (232683840).

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

85527360 is a wasteful number, since it uses less digits than its factorization.

85527360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 85527360 is about 9248.1003454764. The cubic root of 85527360 is about 440.5903920306.

The spelling of 85527360 in words is "eighty-five million, five hundred twenty-seven thousand, three hundred sixty".