85708840 has 64 divisors (see below), whose sum is σ = 224928000. Its totient is φ = 29381184.

The previous prime is 85708837. The next prime is 85708859. The reversal of 85708840 is 4880758.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85708793 and 85708802.

It is a congruent number.

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, 10597 + ... + 16843.

It is an arithmetic number, because the mean of its divisors is an integer number (3514500).

Almost surely, 2^85708840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85708840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112464000).

85708840 is an abundant number, since it is smaller than the sum of its proper divisors (139219160).

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

85708840 is a wasteful number, since it uses less digits than its factorization.

85708840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6261 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 85708840 is about 9257.9068908690. The cubic root of 85708840 is about 440.9018005925.

The spelling of 85708840 in words is "eighty-five million, seven hundred eight thousand, eight hundred forty".