85733964 has 60 divisors (see below), whose sum is σ = 226311624. Its totient is φ = 28299456.

The previous prime is 85733957. The next prime is 85733983. The reversal of 85733964 is 46933758.

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 19 ways as a sum of consecutive naturals, for example, 33432 + ... + 35904.

Almost surely, 2^85733964 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 85733964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113155812).

85733964 is an abundant number, since it is smaller than the sum of its proper divisors (140577660).

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

85733964 is a wasteful number, since it uses less digits than its factorization.

85733964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2585 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 85733964 is about 9259.2636856286. The cubic root of 85733964 is about 440.9448771863.

The spelling of 85733964 in words is "eighty-five million, seven hundred thirty-three thousand, nine hundred sixty-four".