1000578960 has 80 divisors (see below), whose sum is σ = 3446446080. Its totient is φ = 266820480.

The previous prime is 1000578941. The next prime is 1000578961. The reversal of 1000578960 is 698750001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1000578961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229456 + ... + 233775.

It is an arithmetic number, because the mean of its divisors is an integer number (43080576).

Almost surely, 2^1000578960 is an apocalyptic number.

1000578960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000578960 is an abundant number, since it is smaller than the sum of its proper divisors (2445867120).

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

1000578960 is a wasteful number, since it uses less digits than its factorization.

1000578960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463253 (or 463241 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1000578960 is about 31631.9294384645. The cubic root of 1000578960 is about 1000.1929494348.

The spelling of 1000578960 in words is "one billion, five hundred seventy-eight thousand, nine hundred sixty".