86849952 has 144 divisors (see below), whose sum is σ = 272916000. Its totient is φ = 24095232.

The previous prime is 86849929. The next prime is 86849953. The reversal of 86849952 is 25994868.

It is a junction number, because it is equal to n+sod(n) for n = 86849895 and 86849904.

It is not an unprimeable number, because it can be changed into a prime (86849953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173799 + ... + 174297.

It is an arithmetic number, because the mean of its divisors is an integer number (1895250).

Almost surely, 2^86849952 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 86849952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136458000).

86849952 is an abundant number, since it is smaller than the sum of its proper divisors (186066048).

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

86849952 is a wasteful number, since it uses less digits than its factorization.

86849952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 86849952 is about 9319.3321649140. The cubic root of 86849952 is about 442.8498761803.

The spelling of 86849952 in words is "eighty-six million, eight hundred forty-nine thousand, nine hundred fifty-two".