1006755060 has 48 divisors (see below), whose sum is σ = 2820920256. Its totient is φ = 268276992.

The previous prime is 1006755059. The next prime is 1006755067. The reversal of 1006755060 is 605576001.

1006755060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006755067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92464 + ... + 102776.

It is an arithmetic number, because the mean of its divisors is an integer number (58769172).

Almost surely, 2^1006755060 is an apocalyptic number.

1006755060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006755060 is an abundant number, since it is smaller than the sum of its proper divisors (1814165196).

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

1006755060 is a wasteful number, since it uses less digits than its factorization.

1006755060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11952 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 1006755060 is about 31729.4037132752. The cubic root of 1006755060 is about 1002.2466355157.

The spelling of 1006755060 in words is "one billion, six million, seven hundred fifty-five thousand, sixty".