86315970 has 128 divisors (see below), whose sum is σ = 242113536. Its totient is φ = 19501056.

The previous prime is 86315963. The next prime is 86315989. The reversal of 86315970 is 7951368.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 311472 + ... + 311748.

It is an arithmetic number, because the mean of its divisors is an integer number (1891512).

Almost surely, 2^86315970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86315970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121056768).

86315970 is an abundant number, since it is smaller than the sum of its proper divisors (155797566).

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

86315970 is a wasteful number, since it uses less digits than its factorization.

86315970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 86315970 is about 9290.6388370230. The cubic root of 86315970 is about 441.9404142904.

The spelling of 86315970 in words is "eighty-six million, three hundred fifteen thousand, nine hundred seventy".