85967040 has 112 divisors (see below), whose sum is σ = 275234400. Its totient is φ = 22732800.

The previous prime is 85967033. The next prime is 85967051. The reversal of 85967040 is 4076958.

It is a self number, because there is not a number n which added to its sum of digits gives 85967040.

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 15 ways as a sum of consecutive naturals, for example, 142740 + ... + 143340.

It is an arithmetic number, because the mean of its divisors is an integer number (2457450).

Almost surely, 2^85967040 is an apocalyptic number.

85967040 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 85967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137617200).

85967040 is an abundant number, since it is smaller than the sum of its proper divisors (189267360).

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

85967040 is a wasteful number, since it uses less digits than its factorization.

85967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 85967040 is about 9271.8412410912. The cubic root of 85967040 is about 441.3440992700.

The spelling of 85967040 in words is "eighty-five million, nine hundred sixty-seven thousand, forty".