85575360 has 112 divisors (see below), whose sum is σ = 292644576. Its totient is φ = 21061632.

The previous prime is 85575353. The next prime is 85575361. The reversal of 85575360 is 6357558.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85575361) by changing a digit.

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, 9052 + ... + 15908.

It is an arithmetic number, because the mean of its divisors is an integer number (2612898).

Almost surely, 2^85575360 is an apocalyptic number.

85575360 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 85575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146322288).

85575360 is an abundant number, since it is smaller than the sum of its proper divisors (207069216).

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

85575360 is a wasteful number, since it uses less digits than its factorization.

85575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 85575360 is about 9250.6951090175. The cubic root of 85575360 is about 440.6727999047.

The spelling of 85575360 in words is "eighty-five million, five hundred seventy-five thousand, three hundred sixty".