86041956 has 288 divisors, whose sum is σ = 295142400. Its totient is φ = 18869760.

The previous prime is 86041951. The next prime is 86041997. The reversal of 86041956 is 65914068.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86041951) 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 95 ways as a sum of consecutive naturals, for example, 2966950 + ... + 2966978.

It is an arithmetic number, because the mean of its divisors is an integer number (1024800).

Almost surely, 2^86041956 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 86041956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147571200).

86041956 is an abundant number, since it is smaller than the sum of its proper divisors (209100444).

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

86041956 is a wasteful number, since it uses less digits than its factorization.

86041956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 86041956 is about 9275.8803355800. The cubic root of 86041956 is about 441.4722651915.

The spelling of 86041956 in words is "eighty-six million, forty-one thousand, nine hundred fifty-six".