86130432 has 144 divisors (see below), whose sum is σ = 270053280. Its totient is φ = 26984448.

The previous prime is 86130409. The next prime is 86130491. The reversal of 86130432 is 23403168.

It is a happy number.

86130432 is a `hidden beast` number, since 8 + 613 + 0 + 43 + 2 = 666.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 86130396 and 86130405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117138 + ... + 117870.

It is an arithmetic number, because the mean of its divisors is an integer number (1875370).

Almost surely, 2^86130432 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 86130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135026640).

86130432 is an abundant number, since it is smaller than the sum of its proper divisors (183922848).

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

86130432 is a wasteful number, since it uses less digits than its factorization.

86130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 86130432 is about 9280.6482532202. The cubic root of 86130432 is about 441.6235337175.

The spelling of 86130432 in words is "eighty-six million, one hundred thirty thousand, four hundred thirty-two".