86330970 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 19353600.

The previous prime is 86330929. The next prime is 86330987. The reversal of 86330970 is 7903368.

It is a super-2 number, since 2×86330970² = 14906072762281800, which contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 889962 + ... + 890058.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^86330970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86330970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

86330970 is an abundant number, since it is smaller than the sum of its proper divisors (177845670).

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

86330970 is a wasteful number, since it uses less digits than its factorization.

86330970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 86330970 is about 9291.4460661406. The cubic root of 86330970 is about 441.9660129610.

The spelling of 86330970 in words is "eighty-six million, three hundred thirty thousand, nine hundred seventy".