815949952 has 32 divisors (see below), whose sum is σ = 1721149020. Its totient is φ = 383975424.

The previous prime is 815949941. The next prime is 815949971. The reversal of 815949952 is 259949518.

It can be written as a sum of positive squares in 2 ways, for example, as 670602816 + 145347136 = 25896^2 + 12056^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 815949952.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185313 + ... + 189664.

Almost surely, 2^815949952 is an apocalyptic number.

It is an amenable number.

815949952 is an abundant number, since it is smaller than the sum of its proper divisors (905199068).

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

815949952 is a wasteful number, since it uses less digits than its factorization.

815949952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375008 (or 374996 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 52.

The square root of 815949952 is about 28564.8376855182. The cubic root of 815949952 is about 934.4466406474.

It can be divided in two parts, 8 and 15949952, that multiplied together give a square (127599616 = 11296²).

The spelling of 815949952 in words is "eight hundred fifteen million, nine hundred forty-nine thousand, nine hundred fifty-two".