85095360 has 420 divisors, whose sum is σ = 357374952. Its totient is φ = 19160064.

The previous prime is 85095343. The next prime is 85095371. The reversal of 85095360 is 6359058.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 1270047 + ... + 1270113.

Almost surely, 2^85095360 is an apocalyptic number.

85095360 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 85095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178687476).

85095360 is an abundant number, since it is smaller than the sum of its proper divisors (272279592).

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

85095360 is a wasteful number, since it uses less digits than its factorization.

85095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 85095360 is about 9224.7146297325. The cubic root of 85095360 is about 439.8473299532.

The spelling of 85095360 in words is "eighty-five million, ninety-five thousand, three hundred sixty".