86090752 has 44 divisors (see below), whose sum is σ = 187767216. Its totient is φ = 39127040.

The previous prime is 86090747. The next prime is 86090759. The reversal of 86090752 is 25709068.

86090752 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (86090759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7443 + ... + 15085.

Almost surely, 2^86090752 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 86090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93883608).

86090752 is an abundant number, since it is smaller than the sum of its proper divisors (101676464).

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

86090752 is a wasteful number, since it uses less digits than its factorization.

86090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 86090752 is about 9278.5102252463. The cubic root of 86090752 is about 441.5557051420. Note that the first 3 decimals are identical.

The spelling of 86090752 in words is "eighty-six million, ninety thousand, seven hundred fifty-two".