1046580000 has 120 divisors (see below), whose sum is σ = 3433188528. Its totient is φ = 279072000.

The previous prime is 1046579987. The next prime is 1046580001. The reversal of 1046580000 is 856401.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (1046580001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51279 + ... + 68721.

Almost surely, 2^1046580000 is an apocalyptic number.

1046580000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716594264).

1046580000 is an abundant number, since it is smaller than the sum of its proper divisors (2386608528).

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

1046580000 is an equidigital number, since it uses as much as digits as its factorization.

1046580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17476 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1046580000 is about 32350.8887049490. Note that the first 3 decimals coincide. The cubic root of 1046580000 is about 1015.2916404945.

The spelling of 1046580000 in words is "one billion, forty-six million, five hundred eighty thousand".