85823760 has 320 divisors, whose sum is σ = 321408000. Its totient is φ = 18708480.

The previous prime is 85823747. The next prime is 85823791. The reversal of 85823760 is 6732858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1454611 + ... + 1454669.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^85823760 is an apocalyptic number.

85823760 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 85823760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

85823760 is an abundant number, since it is smaller than the sum of its proper divisors (235584240).

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

85823760 is a wasteful number, since it uses less digits than its factorization.

85823760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 85823760 is about 9264.1113982940. Note that the first 3 decimals coincide. The cubic root of 85823760 is about 441.0987690190.

The spelling of 85823760 in words is "eighty-five million, eight hundred twenty-three thousand, seven hundred sixty".