85090824 has 288 divisors, whose sum is σ = 303750720. Its totient is φ = 21835008.

The previous prime is 85090813. The next prime is 85090829. The reversal of 85090824 is 42809058.

It is a super-3 number, since 3×85090824³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85090829) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2299734 + ... + 2299770.

It is an arithmetic number, because the mean of its divisors is an integer number (1054690).

Almost surely, 2^85090824 is an apocalyptic number.

85090824 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 85090824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151875360).

85090824 is an abundant number, since it is smaller than the sum of its proper divisors (218659896).

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

85090824 is a wasteful number, since it uses less digits than its factorization.

85090824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85090824 is about 9224.4687651918. The cubic root of 85090824 is about 439.8395144744.

The spelling of 85090824 in words is "eighty-five million, ninety thousand, eight hundred twenty-four".