1045167264 has 36 divisors (see below), whose sum is σ = 2972195226. Its totient is φ = 348388992.

The previous prime is 1045167209. The next prime is 1045167269. The reversal of 1045167264 is 4627615401.

1045167264 is a `hidden beast` number, since 10 + 4 + 516 + 72 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 581195664 + 463971600 = 24108^2 + 21540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (1045167269) 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 5 ways as a sum of consecutive naturals, for example, 1814239 + ... + 1814814.

Almost surely, 2^1045167264 is an apocalyptic number.

It is an amenable number.

1045167264 is an abundant number, since it is smaller than the sum of its proper divisors (1927027962).

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

1045167264 is a wasteful number, since it uses less digits than its factorization.

1045167264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629069 (or 3629058 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1045167264 is about 32329.0467536548. The cubic root of 1045167264 is about 1014.8346010833.

The spelling of 1045167264 in words is "one billion, forty-five million, one hundred sixty-seven thousand, two hundred sixty-four".