85229760 has 224 divisors, whose sum is σ = 337669632. Its totient is φ = 17694720.

The previous prime is 85229723. The next prime is 85229773. The reversal of 85229760 is 6792258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×85229760² = 14528223979315200, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73344 + ... + 74496.

Almost surely, 2^85229760 is an apocalyptic number.

85229760 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 85229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168834816).

85229760 is an abundant number, since it is smaller than the sum of its proper divisors (252439872).

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

85229760 is a wasteful number, since it uses less digits than its factorization.

85229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 85229760 is about 9231.9965337948. The cubic root of 85229760 is about 440.0787737750.

The spelling of 85229760 in words is "eighty-five million, two hundred twenty-nine thousand, seven hundred sixty".