815069952 has 180 divisors, whose sum is σ = 2537544240. Its totient is φ = 259725312.

The previous prime is 815069909. The next prime is 815069963. The reversal of 815069952 is 259960518.

815069952 is a `hidden beast` number, since 8 + 1 + 506 + 99 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 815069898 and 815069907.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476074 + ... + 477782.

It is an arithmetic number, because the mean of its divisors is an integer number (14097468).

Almost surely, 2^815069952 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 815069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268772120).

815069952 is an abundant number, since it is smaller than the sum of its proper divisors (1722474288).

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

815069952 is a wasteful number, since it uses less digits than its factorization.

815069952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 815069952 is about 28549.4299767964. The cubic root of 815069952 is about 934.1105870125.

The spelling of 815069952 in words is "eight hundred fifteen million, sixty-nine thousand, nine hundred fifty-two".