86406966 has 32 divisors (see below), whose sum is σ = 192348000. Its totient is φ = 28752480.

The previous prime is 86406959. The next prime is 86406977. The reversal of 86406966 is 66960468.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43360 + ... + 45308.

It is an arithmetic number, because the mean of its divisors is an integer number (6010875).

Almost surely, 2^86406966 is an apocalyptic number.

86406966 is an abundant number, since it is smaller than the sum of its proper divisors (105941034).

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

86406966 is a wasteful number, since it uses less digits than its factorization.

86406966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 86406966 is about 9295.5347344841. The cubic root of 86406966 is about 442.0956605191.

The spelling of 86406966 in words is "eighty-six million, four hundred six thousand, nine hundred sixty-six".