1006165560 has 64 divisors (see below), whose sum is σ = 3045250080. Its totient is φ = 265932800.

The previous prime is 1006165529. The next prime is 1006165603. The reversal of 1006165560 is 655616001.

1006165560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1006165560² = 2024738268260227200, which contains 22 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23541 + ... + 50660.

Almost surely, 2^1006165560 is an apocalyptic number.

1006165560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006165560 is an abundant number, since it is smaller than the sum of its proper divisors (2039084520).

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

1006165560 is a wasteful number, since it uses less digits than its factorization.

1006165560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74328 (or 74324 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1006165560 is about 31720.1128623465. The cubic root of 1006165560 is about 1002.0509772830.

The spelling of 1006165560 in words is "one billion, six million, one hundred sixty-five thousand, five hundred sixty".