85410576 has 60 divisors (see below), whose sum is σ = 239744700. Its totient is φ = 28385280.

The previous prime is 85410571. The next prime is 85410581. The reversal of 85410576 is 67501458.

85410576 is a `hidden beast` number, since 85 + 4 + 1 + 0 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (85410571) and next prime (85410581).

It can be written as a sum of positive squares in 2 ways, for example, as 67568400 + 17842176 = 8220^2 + 4224^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 85410576.

It is not an unprimeable number, because it can be changed into a prime (85410571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63996 + ... + 65316.

It is an arithmetic number, because the mean of its divisors is an integer number (3995745).

Almost surely, 2^85410576 is an apocalyptic number.

It is an amenable number.

85410576 is an abundant number, since it is smaller than the sum of its proper divisors (154334124).

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

85410576 is a wasteful number, since it uses less digits than its factorization.

85410576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1775 counting only the distinct ones).

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

The square root of 85410576 is about 9241.7842433158. The cubic root of 85410576 is about 440.3897648258.

The spelling of 85410576 in words is "eighty-five million, four hundred ten thousand, five hundred seventy-six".