867516948 has 36 divisors (see below), whose sum is σ = 2252160820. Its totient is φ = 281356416.

The previous prime is 867516887. The next prime is 867516971. The reversal of 867516948 is 849615768.

867516948 is a `hidden beast` number, since 86 + 7 + 516 + 9 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 760766724 + 106750224 = 27582^2 + 10332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 867516894 and 867516903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324313 + ... + 326976.

Almost surely, 2^867516948 is an apocalyptic number.

It is an amenable number.

867516948 is an abundant number, since it is smaller than the sum of its proper divisors (1384643872).

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

867516948 is a wasteful number, since it uses less digits than its factorization.

867516948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651336 (or 651331 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 867516948 is about 29453.6406578202. The cubic root of 867516948 is about 953.7311980843.

The spelling of 867516948 in words is "eight hundred sixty-seven million, five hundred sixteen thousand, nine hundred forty-eight".