85609920 has 224 divisors, whose sum is σ = 303434496. Its totient is φ = 20444160.

The previous prime is 85609907. The next prime is 85609949. The reversal of 85609920 is 2990658.

85609920 = T₆₄ + T₆₅ + ... + T₈₀₀.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1277727 + ... + 1277793.

Almost surely, 2^85609920 is an apocalyptic number.

85609920 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 85609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151717248).

85609920 is an abundant number, since it is smaller than the sum of its proper divisors (217824576).

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

85609920 is a wasteful number, since it uses less digits than its factorization.

85609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 85609920 is about 9252.5628881948. The cubic root of 85609920 is about 440.7321144949.

The spelling of 85609920 in words is "eighty-five million, six hundred nine thousand, nine hundred twenty".