1005662952 has 80 divisors (see below), whose sum is σ = 3219200160. Its totient is φ = 287330976.

The previous prime is 1005662947. The next prime is 1005662963. The reversal of 1005662952 is 2592665001.

1005662952 is a `hidden beast` number, since 1 + 0 + 0 + 566 + 2 + 95 + 2 = 666.

It is a super-2 number, since 2×1005662952² = 2022715946050708608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106318 + ... + 115389.

It is an arithmetic number, because the mean of its divisors is an integer number (40240002).

Almost surely, 2^1005662952 is an apocalyptic number.

1005662952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005662952 is an abundant number, since it is smaller than the sum of its proper divisors (2213537208).

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

1005662952 is a wasteful number, since it uses less digits than its factorization.

1005662952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221732 (or 221719 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1005662952 is about 31712.1893283955. The cubic root of 1005662952 is about 1001.8840986097.

The spelling of 1005662952 in words is "one billion, five million, six hundred sixty-two thousand, nine hundred fifty-two".