86561464 has 48 divisors (see below), whose sum is σ = 179645760. Its totient is φ = 39072000.

The previous prime is 86561407. The next prime is 86561471. The reversal of 86561464 is 46416568.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215664 + ... + 216064.

It is an arithmetic number, because the mean of its divisors is an integer number (3742620).

Almost surely, 2^86561464 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 86561464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89822880).

86561464 is an abundant number, since it is smaller than the sum of its proper divisors (93084296).

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

86561464 is a wasteful number, since it uses less digits than its factorization.

86561464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 637 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 86561464 is about 9303.8413572029. The cubic root of 86561464 is about 442.3589966434.

Subtracting from 86561464 its reverse (46416568), we obtain a square (40144896 = 6336²).

It can be divided in two parts, 86561 and 464, that added together give a square (87025 = 295²).

The spelling of 86561464 in words is "eighty-six million, five hundred sixty-one thousand, four hundred sixty-four".