86087424 has 72 divisors (see below), whose sum is σ = 230685840. Its totient is φ = 28499968.

The previous prime is 86087411. The next prime is 86087447. The reversal of 86087424 is 42478068.

It is a super-2 number, since 2×86087424² = 14822089141911552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151012 + ... + 151580.

It is an arithmetic number, because the mean of its divisors is an integer number (3203970).

Almost surely, 2^86087424 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 86087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115342920).

86087424 is an abundant number, since it is smaller than the sum of its proper divisors (144598416).

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

86087424 is a wasteful number, since it uses less digits than its factorization.

86087424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 86087424 is about 9278.3308843779. The cubic root of 86087424 is about 441.5500153464.

The spelling of 86087424 in words is "eighty-six million, eighty-seven thousand, four hundred twenty-four".