86085720 has 256 divisors, whose sum is σ = 335232000. Its totient is φ = 19243008.

The previous prime is 86085709. The next prime is 86085737. The reversal of 86085720 is 2758068.

86085720 is a `hidden beast` number, since 86 + 0 + 8 + 572 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445944 + ... + 446136.

It is an arithmetic number, because the mean of its divisors is an integer number (1309500).

Almost surely, 2^86085720 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 86085720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167616000).

86085720 is an abundant number, since it is smaller than the sum of its proper divisors (249146280).

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

86085720 is a wasteful number, since it uses less digits than its factorization.

86085720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 86085720 is about 9278.2390570625. The cubic root of 86085720 is about 441.5471020050.

The spelling of 86085720 in words is "eighty-six million, eighty-five thousand, seven hundred twenty".