85145760 has 144 divisors (see below), whose sum is σ = 332107776. Its totient is φ = 19459584.

The previous prime is 85145743. The next prime is 85145771. The reversal of 85145760 is 6754158.

85145760 is a `hidden beast` number, since 85 + 1 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5857 + ... + 14303.

It is an arithmetic number, because the mean of its divisors is an integer number (2306304).

Almost surely, 2^85145760 is an apocalyptic number.

85145760 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 85145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888).

85145760 is an abundant number, since it is smaller than the sum of its proper divisors (246962016).

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

85145760 is a wasteful number, since it uses less digits than its factorization.

85145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8475 (or 8464 counting only the distinct ones).

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

The square root of 85145760 is about 9227.4460171816. The cubic root of 85145760 is about 439.9341499250.

It can be divided in two parts, 85145 and 760, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 85145760 in words is "eighty-five million, one hundred forty-five thousand, seven hundred sixty".