86015424 has 112 divisors (see below), whose sum is σ = 250911360. Its totient is φ = 25789440.

The previous prime is 86015411. The next prime is 86015431. The reversal of 86015424 is 42451068.

It is a junction number, because it is equal to n+sod(n) for n = 86015391 and 86015400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 293422 + ... + 293714.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 2^86015424 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 86015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125455680).

86015424 is an abundant number, since it is smaller than the sum of its proper divisors (164895936).

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

86015424 is a wasteful number, since it uses less digits than its factorization.

86015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 86015424 is about 9274.4500645591. The cubic root of 86015424 is about 441.4268828887.

The spelling of 86015424 in words is "eighty-six million, fifteen thousand, four hundred twenty-four".