85759960 has 192 divisors, whose sum is σ = 241315200. Its totient is φ = 27202560.

The previous prime is 85759957. The next prime is 85760021. The reversal of 85759960 is 6995758.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1824657 + ... + 1824703.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^85759960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85759960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

85759960 is an abundant number, since it is smaller than the sum of its proper divisors (155555240).

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

85759960 is a wasteful number, since it uses less digits than its factorization.

85759960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

The square root of 85759960 is about 9260.6673625609. The cubic root of 85759960 is about 440.9894400181.

The spelling of 85759960 in words is "eighty-five million, seven hundred fifty-nine thousand, nine hundred sixty".