86547456 has 66 divisors (see below), whose sum is σ = 249930512. Its totient is φ = 28846080.

The previous prime is 86547449. The next prime is 86547473. The reversal of 86547456 is 65474568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4521 + ... + 13911.

Almost surely, 2^86547456 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 86547456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124965256).

86547456 is an abundant number, since it is smaller than the sum of its proper divisors (163383056).

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

86547456 is a wasteful number, since it uses less digits than its factorization.

86547456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9417 (or 9396 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 86547456 is about 9303.0885194112. The cubic root of 86547456 is about 442.3351334491.

It can be divided in two parts, 8654 and 7456, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 86547456 in words is "eighty-six million, five hundred forty-seven thousand, four hundred fifty-six".