85145368 has 64 divisors (see below), whose sum is σ = 200160000. Its totient is φ = 32987520.

The previous prime is 85145351. The next prime is 85145369. The reversal of 85145368 is 86354158.

Its product of digits (115200) is a multiple of the sum of its prime factors (800).

It is a self number, because there is not a number n which added to its sum of digits gives 85145368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85145369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170383 + ... + 170881.

It is an arithmetic number, because the mean of its divisors is an integer number (3127500).

Almost surely, 2^85145368 is an apocalyptic number.

85145368 is a gapful number since it is divisible by the number (88) 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 85145368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100080000).

85145368 is an abundant number, since it is smaller than the sum of its proper divisors (115014632).

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

85145368 is a wasteful number, since it uses less digits than its factorization.

85145368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 85145368 is about 9227.4247761767. The cubic root of 85145368 is about 439.9334747908.

The spelling of 85145368 in words is "eighty-five million, one hundred forty-five thousand, three hundred sixty-eight".