85969920 has 176 divisors, whose sum is σ = 285924960. Its totient is φ = 22020096.

The previous prime is 85969879. The next prime is 85969937. The reversal of 85969920 is 2996958.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85969920.

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 15 ways as a sum of consecutive naturals, for example, 445344 + ... + 445536.

Almost surely, 2^85969920 is an apocalyptic number.

85969920 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 85969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142962480).

85969920 is an abundant number, since it is smaller than the sum of its proper divisors (199955040).

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

85969920 is a wasteful number, since it uses less digits than its factorization.

85969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 85969920 is about 9271.9965487483. The cubic root of 85969920 is about 441.3490277356.

The spelling of 85969920 in words is "eighty-five million, nine hundred sixty-nine thousand, nine hundred twenty".