85069824 has 208 divisors, whose sum is σ = 276790272. Its totient is φ = 22708224.

The previous prime is 85069811. The next prime is 85069837. The reversal of 85069824 is 42896058.

It is an interprime number because it is at equal distance from previous prime (85069811) and next prime (85069837).

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 (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1978347 + ... + 1978389.

Almost surely, 2^85069824 is an apocalyptic number.

85069824 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 85069824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138395136).

85069824 is an abundant number, since it is smaller than the sum of its proper divisors (191720448).

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

85069824 is a wasteful number, since it uses less digits than its factorization.

85069824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 85069824 is about 9223.3304180215. The cubic root of 85069824 is about 439.8033280823.

The spelling of 85069824 in words is "eighty-five million, sixty-nine thousand, eight hundred twenty-four".