86550464 has 168 divisors, whose sum is σ = 235933488. Its totient is φ = 30965760.

The previous prime is 86550461. The next prime is 86550509. The reversal of 86550464 is 46405568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86550461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448352 + ... + 448544.

It is an arithmetic number, because the mean of its divisors is an integer number (1404366).

Almost surely, 2^86550464 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 86550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117966744).

86550464 is an abundant number, since it is smaller than the sum of its proper divisors (149383024).

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

86550464 is a wasteful number, since it uses less digits than its factorization.

86550464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 86550464 is about 9303.2501847473. The cubic root of 86550464 is about 442.3402579158.

Subtracting from 86550464 its reverse (46405568), we obtain a square (40144896 = 6336²).

It can be divided in two parts, 865504 and 64, that added together give a palindrome (865568).

The spelling of 86550464 in words is "eighty-six million, five hundred fifty thousand, four hundred sixty-four".