85023360 has 192 divisors, whose sum is σ = 304317000. Its totient is φ = 21848064.

The previous prime is 85023353. The next prime is 85023371. The reversal of 85023360 is 6332058.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 6594624 = 8856^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 166786 + ... + 167294.

Almost surely, 2^85023360 is an apocalyptic number.

85023360 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 85023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152158500).

85023360 is an abundant number, since it is smaller than the sum of its proper divisors (219293640).

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

85023360 is a wasteful number, since it uses less digits than its factorization.

85023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 85023360 is about 9220.8112441368. The cubic root of 85023360 is about 439.7232419349.

The spelling of 85023360 in words is "eighty-five million, twenty-three thousand, three hundred sixty".