85773120 has 112 divisors (see below), whose sum is σ = 278270208. Its totient is φ = 22374400.

The previous prime is 85773119. The next prime is 85773131. The reversal of 85773120 is 2137758.

It is a super-2 number, since 2×85773120² = 14714056229068800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 44170 + ... + 46070.

Almost surely, 2^85773120 is an apocalyptic number.

85773120 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 85773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139135104).

85773120 is an abundant number, since it is smaller than the sum of its proper divisors (192497088).

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

85773120 is a wasteful number, since it uses less digits than its factorization.

85773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 85773120 is about 9261.3778672506. The cubic root of 85773120 is about 441.0119957042.

The spelling of 85773120 in words is "eighty-five million, seven hundred seventy-three thousand, one hundred twenty".