85937280 has 256 divisors, whose sum is σ = 322842240. Its totient is φ = 19169280.

The previous prime is 85937251. The next prime is 85937297. The reversal of 85937280 is 8273958.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274404 + ... + 274716.

Almost surely, 2^85937280 is an apocalyptic number.

85937280 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 85937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161421120).

85937280 is an abundant number, since it is smaller than the sum of its proper divisors (236904960).

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

85937280 is a wasteful number, since it uses less digits than its factorization.

85937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 85937280 is about 9270.2362429444. The cubic root of 85937280 is about 441.2931653449.

The spelling of 85937280 in words is "eighty-five million, nine hundred thirty-seven thousand, two hundred eighty".