86766948 has 72 divisors (see below), whose sum is σ = 234282048. Its totient is φ = 27010368.

The previous prime is 86766941. The next prime is 86767001. The reversal of 86766948 is 84966768.

It is a junction number, because it is equal to n+sod(n) for n = 86766894 and 86766903.

It is not an unprimeable number, because it can be changed into a prime (86766941) 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, 34386 + ... + 36822.

Almost surely, 2^86766948 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 86766948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117141024).

86766948 is an abundant number, since it is smaller than the sum of its proper divisors (147515100).

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

86766948 is a wasteful number, since it uses less digits than its factorization.

86766948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2508 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 86766948 is about 9314.8777769759. The cubic root of 86766948 is about 442.7087514524.

The spelling of 86766948 in words is "eighty-six million, seven hundred sixty-six thousand, nine hundred forty-eight".