86840964 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 22450176.

The previous prime is 86840953. The next prime is 86841011. The reversal of 86840964 is 46904868.

It is a happy number.

It is a congruent 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, 372592 + ... + 372824.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^86840964 is an apocalyptic number.

86840964 is a gapful number since it is divisible by the number (84) 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 86840964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

86840964 is an abundant number, since it is smaller than the sum of its proper divisors (196205436).

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

86840964 is a wasteful number, since it uses less digits than its factorization.

86840964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86840964 is about 9318.8499290417. The cubic root of 86840964 is about 442.8345989812.

The spelling of 86840964 in words is "eighty-six million, eight hundred forty thousand, nine hundred sixty-four".