85747860 has 216 divisors, whose sum is σ = 297443328. Its totient is φ = 19958400.

The previous prime is 85747853. The next prime is 85747877. The reversal of 85747860 is 6874758.

85747860 is a `hidden beast` number, since 8 + 574 + 78 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 11.

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 71 ways as a sum of consecutive naturals, for example, 675117 + ... + 675243.

Almost surely, 2^85747860 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 85747860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148721664).

85747860 is an abundant number, since it is smaller than the sum of its proper divisors (211695468).

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

85747860 is a wasteful number, since it uses less digits than its factorization.

85747860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 85747860 is about 9260.0140388662. The cubic root of 85747860 is about 440.9686990911.

The spelling of 85747860 in words is "eighty-five million, seven hundred forty-seven thousand, eight hundred sixty".