85933040 has 40 divisors (see below), whose sum is σ = 202338240. Its totient is φ = 33935616.

The previous prime is 85933039. The next prime is 85933051. The reversal of 85933040 is 4033958.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 85932988 and 85933006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 479 + ... + 13118.

It is an arithmetic number, because the mean of its divisors is an integer number (5058456).

Almost surely, 2^85933040 is an apocalyptic number.

85933040 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 85933040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101169120).

85933040 is an abundant number, since it is smaller than the sum of its proper divisors (116405200).

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

85933040 is a wasteful number, since it uses less digits than its factorization.

85933040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13689 (or 13683 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 85933040 is about 9270.0075512375. The cubic root of 85933040 is about 441.2859076729.

Adding to 85933040 its reverse (4033958), we get a palindrome (89966998).

The spelling of 85933040 in words is "eighty-five million, nine hundred thirty-three thousand, forty".