85828640 has 96 divisors (see below), whose sum is σ = 214897536. Its totient is φ = 32327680.

The previous prime is 85828637. The next prime is 85828651. The reversal of 85828640 is 4682858.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305300 + ... + 305580.

It is an arithmetic number, because the mean of its divisors is an integer number (2238516).

Almost surely, 2^85828640 is an apocalyptic number.

85828640 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 85828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107448768).

85828640 is an abundant number, since it is smaller than the sum of its proper divisors (129068896).

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

85828640 is a wasteful number, since it uses less digits than its factorization.

85828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 85828640 is about 9264.3747765297. The cubic root of 85828640 is about 441.1071292571.

It can be divided in two parts, 85828 and 640, that added together give a palindrome (86468).

The spelling of 85828640 in words is "eighty-five million, eight hundred twenty-eight thousand, six hundred forty".