86071392 has 144 divisors (see below), whose sum is σ = 270663120. Its totient is φ = 25728000.

The previous prime is 86071373. The next prime is 86071393. The reversal of 86071392 is 29317068.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86071393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319834 + ... + 320102.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^86071392 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 86071392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331560).

86071392 is an abundant number, since it is smaller than the sum of its proper divisors (184591728).

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

86071392 is a wasteful number, since it uses less digits than its factorization.

86071392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86071392 is about 9277.4668956564. The cubic root of 86071392 is about 441.5226037959.

It can be divided in two parts, 8607 and 1392, that added together give a palindrome (9999).

The spelling of 86071392 in words is "eighty-six million, seventy-one thousand, three hundred ninety-two".