85195824 has 80 divisors (see below), whose sum is σ = 252864768. Its totient is φ = 24212736.

The previous prime is 85195813. The next prime is 85195837. The reversal of 85195824 is 42859158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75714 + ... + 76830.

Almost surely, 2^85195824 is an apocalyptic number.

85195824 is a gapful number since it is divisible by the number (84) 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 85195824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126432384).

85195824 is an abundant number, since it is smaller than the sum of its proper divisors (167668944).

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

85195824 is a wasteful number, since it uses less digits than its factorization.

85195824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 85195824 is about 9230.1583951739. The cubic root of 85195824 is about 440.0203571849.

The spelling of 85195824 in words is "eighty-five million, one hundred ninety-five thousand, eight hundred twenty-four".