86570352 has 240 divisors, whose sum is σ = 285981696. Its totient is φ = 24192000.

The previous prime is 86570339. The next prime is 86570353. The reversal of 86570352 is 25307568.

86570352 is a `hidden beast` number, since 86 + 570 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86570353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013243 + ... + 2013285.

Almost surely, 2^86570352 is an apocalyptic number.

86570352 is a gapful number since it is divisible by the number (82) 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 86570352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142990848).

86570352 is an abundant number, since it is smaller than the sum of its proper divisors (199411344).

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

86570352 is a wasteful number, since it uses less digits than its factorization.

86570352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 86570352 is about 9304.3189971110. The cubic root of 86570352 is about 442.3741363758.

It can be divided in two parts, 865 and 70352, that added together give a palindrome (71217).

The spelling of 86570352 in words is "eighty-six million, five hundred seventy thousand, three hundred fifty-two".