85079040 has 176 divisors, whose sum is σ = 282977280. Its totient is φ = 21790720.

The previous prime is 85079023. The next prime is 85079053. The reversal of 85079040 is 4097058.

It is a junction number, because it is equal to n+sod(n) for n = 85078992 and 85079010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445345 + ... + 445535.

Almost surely, 2^85079040 is an apocalyptic number.

85079040 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 85079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

85079040 is an abundant number, since it is smaller than the sum of its proper divisors (197898240).

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

85079040 is a wasteful number, since it uses less digits than its factorization.

85079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 85079040 is about 9223.8300071066. The cubic root of 85079040 is about 439.8192094722.

The spelling of 85079040 in words is "eighty-five million, seventy-nine thousand, forty".