86417632 has 24 divisors (see below), whose sum is σ = 194440176. Its totient is φ = 37036032.

The previous prime is 86417621. The next prime is 86417633. The reversal of 86417632 is 23671468.

It is a super-3 number, since 3×86417632³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86417591 and 86417600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86417633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 192673 + ... + 193120.

It is an arithmetic number, because the mean of its divisors is an integer number (8101674).

Almost surely, 2^86417632 is an apocalyptic number.

It is an amenable number.

86417632 is an abundant number, since it is smaller than the sum of its proper divisors (108022544).

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

86417632 is a wasteful number, since it uses less digits than its factorization.

86417632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385810 (or 385802 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 86417632 is about 9296.1084331025. The cubic root of 86417632 is about 442.1138504041.

It can be divided in two parts, 864 and 17632, that added together give a square (18496 = 136²).

The spelling of 86417632 in words is "eighty-six million, four hundred seventeen thousand, six hundred thirty-two".