1005016560 has 40 divisors (see below), whose sum is σ = 3115552080. Its totient is φ = 268004352.

The previous prime is 1005016531. The next prime is 1005016613. The reversal of 1005016560 is 656105001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1005016560.

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 7 ways as a sum of consecutive naturals, for example, 2093545 + ... + 2094024.

It is an arithmetic number, because the mean of its divisors is an integer number (77888802).

Almost surely, 2^1005016560 is an apocalyptic number.

1005016560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005016560 is an abundant number, since it is smaller than the sum of its proper divisors (2110535520).

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

1005016560 is a wasteful number, since it uses less digits than its factorization.

1005016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187585 (or 4187579 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1005016560 is about 31701.9961516621. The cubic root of 1005016560 is about 1001.6693982254.

The spelling of 1005016560 in words is "one billion, five million, sixteen thousand, five hundred sixty".