86418948 has 144 divisors (see below), whose sum is σ = 264757248. Its totient is φ = 21672000.

The previous prime is 86418881. The next prime is 86418977. The reversal of 86418948 is 84981468.

It is a junction number, because it is equal to n+sod(n) for n = 86418897 and 86418906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200293 + ... + 200723.

It is an arithmetic number, because the mean of its divisors is an integer number (1838592).

Almost surely, 2^86418948 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 86418948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

86418948 is an abundant number, since it is smaller than the sum of its proper divisors (178338300).

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

86418948 is a wasteful number, since it uses less digits than its factorization.

86418948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 86418948 is about 9296.1792151399. The cubic root of 86418948 is about 442.1160946177.

The spelling of 86418948 in words is "eighty-six million, four hundred eighteen thousand, nine hundred forty-eight".