1076267952 has 80 divisors (see below), whose sum is σ = 3195852000. Its totient is φ = 346381056.

The previous prime is 1076267947. The next prime is 1076268031. The reversal of 1076267952 is 2597626701.

1076267952 is a `hidden beast` number, since 10 + 7 + 626 + 7 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1076267898 and 1076267907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30427 + ... + 55482.

It is an arithmetic number, because the mean of its divisors is an integer number (39948150).

Almost surely, 2^1076267952 is an apocalyptic number.

1076267952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1076267952 is an abundant number, since it is smaller than the sum of its proper divisors (2119584048).

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

1076267952 is a wasteful number, since it uses less digits than its factorization.

1076267952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85955 (or 85943 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1076267952 is about 32806.5230099137. The cubic root of 1076267952 is about 1024.8024055360.

The spelling of 1076267952 in words is "one billion, seventy-six million, two hundred sixty-seven thousand, nine hundred fifty-two".