85863960 has 192 divisors, whose sum is σ = 343586880. Its totient is φ = 18109440.

The previous prime is 85863941. The next prime is 85863961. The reversal of 85863960 is 6936858.

85863960 is a `hidden beast` number, since 8 + 5 + 8 + 639 + 6 + 0 = 666.

85863960 is a nontrivial binomial coefficient, being equal to C(13105, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85863961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31450 + ... + 34070.

It is an arithmetic number, because the mean of its divisors is an integer number (1789515).

Almost surely, 2^85863960 is an apocalyptic number.

85863960 is the 13104-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85863960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171793440).

85863960 is an abundant number, since it is smaller than the sum of its proper divisors (257722920).

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

85863960 is a wasteful number, since it uses less digits than its factorization.

85863960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 85863960 is about 9266.2808073142. The cubic root of 85863960 is about 441.1676287483.

The spelling of 85863960 in words is "eighty-five million, eight hundred sixty-three thousand, nine hundred sixty".