85733960 has 64 divisors (see below), whose sum is σ = 210470400. Its totient is φ = 31239936.

The previous prime is 85733957. The next prime is 85733983. The reversal of 85733960 is 6933758.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40037 + ... + 42123.

It is an arithmetic number, because the mean of its divisors is an integer number (3288600).

Almost surely, 2^85733960 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 85733960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105235200).

85733960 is an abundant number, since it is smaller than the sum of its proper divisors (124736440).

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

85733960 is a wasteful number, since it uses less digits than its factorization.

85733960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 85733960 is about 9259.2634696287. The cubic root of 85733960 is about 440.9448703287.

The spelling of 85733960 in words is "eighty-five million, seven hundred thirty-three thousand, nine hundred sixty".