85937760 has 240 divisors, whose sum is σ = 320166000. Its totient is φ = 21648384.

The previous prime is 85937707. The next prime is 85937767. The reversal of 85937760 is 6773958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85937767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246066 + ... + 246414.

It is an arithmetic number, because the mean of its divisors is an integer number (1334025).

Almost surely, 2^85937760 is an apocalyptic number.

85937760 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 85937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160083000).

85937760 is an abundant number, since it is smaller than the sum of its proper divisors (234228240).

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

85937760 is a wasteful number, since it uses less digits than its factorization.

85937760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 85937760 is about 9270.2621322161. The cubic root of 85937760 is about 441.2939869532.

The spelling of 85937760 in words is "eighty-five million, nine hundred thirty-seven thousand, seven hundred sixty".