85175640 has 192 divisors, whose sum is σ = 306128160. Its totient is φ = 20367360.

The previous prime is 85175567. The next prime is 85175641. The reversal of 85175640 is 4657158.

85175640 is a `hidden beast` number, since 8 + 5 + 1 + 7 + 5 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 85175595 and 85175604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85175641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542442 + ... + 542598.

Almost surely, 2^85175640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85175640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153064080).

85175640 is an abundant number, since it is smaller than the sum of its proper divisors (220952520).

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

85175640 is a wasteful number, since it uses less digits than its factorization.

85175640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85175640 is about 9229.0649580551. The cubic root of 85175640 is about 439.9856055897.

The spelling of 85175640 in words is "eighty-five million, one hundred seventy-five thousand, six hundred forty".