86084940 has 96 divisors (see below), whose sum is σ = 262229184. Its totient is φ = 21012480.

The previous prime is 86084939. The next prime is 86084941. The reversal of 86084940 is 4948068.

It is an interprime number because it is at equal distance from previous prime (86084939) and next prime (86084941).

It is not an unprimeable number, because it can be changed into a prime (86084941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36600 + ... + 38880.

It is an arithmetic number, because the mean of its divisors is an integer number (2731554).

Almost surely, 2^86084940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86084940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131114592).

86084940 is an abundant number, since it is smaller than the sum of its proper divisors (176144244).

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

86084940 is a wasteful number, since it uses less digits than its factorization.

86084940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86084940 is about 9278.1970231290. The cubic root of 86084940 is about 441.5457684203.

The spelling of 86084940 in words is "eighty-six million, eighty-four thousand, nine hundred forty".