85895040 has 384 divisors, whose sum is σ = 351630720. Its totient is φ = 17633280.

The previous prime is 85895039. The next prime is 85895059. The reversal of 85895040 is 4059858.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 85895040.

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, 1034839 + ... + 1034921.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 2^85895040 is an apocalyptic number.

85895040 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 85895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

85895040 is an abundant number, since it is smaller than the sum of its proper divisors (265735680).

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

85895040 is a wasteful number, since it uses less digits than its factorization.

85895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 85895040 is about 9267.9577038310. The cubic root of 85895040 is about 441.2208518385.

The spelling of 85895040 in words is "eighty-five million, eight hundred ninety-five thousand, forty".