1006056120 has 32 divisors (see below), whose sum is σ = 3018168720. Its totient is φ = 268281600.

The previous prime is 1006056119. The next prime is 1006056127. The reversal of 1006056120 is 216506001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006056127) by changing a digit.

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, 4191781 + ... + 4192020.

Almost surely, 2^1006056120 is an apocalyptic number.

1006056120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006056120 is an abundant number, since it is smaller than the sum of its proper divisors (2012112600).

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

1006056120 is a wasteful number, since it uses less digits than its factorization.

1006056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383815 (or 8383811 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1006056120 is about 31718.3877269952. The cubic root of 1006056120 is about 1002.0146451459.

The spelling of 1006056120 in words is "one billion, six million, fifty-six thousand, one hundred twenty".