85262840 has 64 divisors (see below), whose sum is σ = 215611200. Its totient is φ = 30108672.

The previous prime is 85262831. The next prime is 85262857. The reversal of 85262840 is 4826258.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85262840.

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, 8396 + ... + 15524.

It is an arithmetic number, because the mean of its divisors is an integer number (3368925).

Almost surely, 2^85262840 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 85262840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107805600).

85262840 is an abundant number, since it is smaller than the sum of its proper divisors (130348360).

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

85262840 is a wasteful number, since it uses less digits than its factorization.

85262840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 85262840 is about 9233.7879551135. The cubic root of 85262840 is about 440.1357019450.

The spelling of 85262840 in words is "eighty-five million, two hundred sixty-two thousand, eight hundred forty".