1045064000 has 56 divisors (see below), whose sum is σ = 2588120808. Its totient is φ = 418022400.

The previous prime is 1045063997. The next prime is 1045064003. The reversal of 1045064000 is 4605401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1045063997) and next prime (1045064003).

It can be written as a sum of positive squares in 4 ways, for example, as 198021184 + 847042816 = 14072^2 + 29104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045064003) 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 7 ways as a sum of consecutive naturals, for example, 57317 + ... + 73316.

It is an arithmetic number, because the mean of its divisors is an integer number (46216443).

Almost surely, 2^1045064000 is an apocalyptic number.

1045064000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045064000 is an abundant number, since it is smaller than the sum of its proper divisors (1543056808).

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

1045064000 is an equidigital number, since it uses as much as digits as its factorization.

1045064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130660 (or 130640 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1045064000 is about 32327.4496364931. The cubic root of 1045064000 is about 1014.8011776191.

Adding to 1045064000 its reverse (4605401), we get a palindrome (1049669401).

The spelling of 1045064000 in words is "one billion, forty-five million, sixty-four thousand".