86589792 has 72 divisors (see below), whose sum is σ = 251518176. Its totient is φ = 28244736.

The previous prime is 86589781. The next prime is 86589803. The reversal of 86589792 is 29798568.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86589781) and next prime (86589803).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10338 + ... + 16734.

It is an arithmetic number, because the mean of its divisors is an integer number (3493308).

Almost surely, 2^86589792 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 86589792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125759088).

86589792 is an abundant number, since it is smaller than the sum of its proper divisors (164928384).

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

86589792 is a wasteful number, since it uses less digits than its factorization.

86589792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6449 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 86589792 is about 9305.3636146042. The cubic root of 86589792 is about 442.4072466704.

The spelling of 86589792 in words is "eighty-six million, five hundred eighty-nine thousand, seven hundred ninety-two".