85847040 has 308 divisors, whose sum is σ = 322181424. Its totient is φ = 21897216.

The previous prime is 85847039. The next prime is 85847053. The reversal of 85847040 is 4074858.

85847040 is a `hidden beast` number, since 8 + 584 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85846986 and 85847004.

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 27 ways as a sum of consecutive naturals, for example, 3732469 + ... + 3732491.

Almost surely, 2^85847040 is an apocalyptic number.

85847040 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 85847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161090712).

85847040 is an abundant number, since it is smaller than the sum of its proper divisors (236334384).

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

85847040 is an equidigital number, since it uses as much as digits as its factorization.

85847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 85847040 is about 9265.3677746758. The cubic root of 85847040 is about 441.1386486164.

The spelling of 85847040 in words is "eighty-five million, eight hundred forty-seven thousand, forty".