86533440 has 224 divisors, whose sum is σ = 319918080. Its totient is φ = 19408896.

The previous prime is 86533423. The next prime is 86533453. The reversal of 86533440 is 4433568.

86533440 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530799 + ... + 530961.

Almost surely, 2^86533440 is an apocalyptic number.

86533440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159959040).

86533440 is an abundant number, since it is smaller than the sum of its proper divisors (233384640).

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

86533440 is a wasteful number, since it uses less digits than its factorization.

86533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 86533440 is about 9302.3351906927. The cubic root of 86533440 is about 442.3112540492.

The spelling of 86533440 in words is "eighty-six million, five hundred thirty-three thousand, four hundred forty".