1045164960 has 144 divisors (see below), whose sum is σ = 4076182656. Its totient is φ = 238892544.

The previous prime is 1045164899. The next prime is 1045164973. The reversal of 1045164960 is 694615401.

1045164960 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 1 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1045164960² = 2184739587223603200, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41764 + ... + 61923.

It is an arithmetic number, because the mean of its divisors is an integer number (28306824).

Almost surely, 2^1045164960 is an apocalyptic number.

1045164960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045164960 is an abundant number, since it is smaller than the sum of its proper divisors (3031017696).

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

1045164960 is a wasteful number, since it uses less digits than its factorization.

1045164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103715 (or 103704 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1045164960 is about 32329.0111200451. The cubic root of 1045164960 is about 1014.8338553715.

The spelling of 1045164960 in words is "one billion, forty-five million, one hundred sixty-four thousand, nine hundred sixty".