1006275560 has 32 divisors (see below), whose sum is σ = 2397305160. Its totient is φ = 378832896.

The previous prime is 1006275547. The next prime is 1006275619. The reversal of 1006275560 is 655726001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 770284516 + 235991044 = 27754^2 + 15362^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739229 + ... + 740588.

Almost surely, 2^1006275560 is an apocalyptic number.

1006275560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006275560 is an abundant number, since it is smaller than the sum of its proper divisors (1391029600).

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

1006275560 is a wasteful number, since it uses less digits than its factorization.

1006275560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479845 (or 1479841 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 1006275560 is about 31721.8467306051. The cubic root of 1006275560 is about 1002.0874926755.

The spelling of 1006275560 in words is "one billion, six million, two hundred seventy-five thousand, five hundred sixty".