1045584648 has 48 divisors (see below), whose sum is σ = 2839456620. Its totient is φ = 347584896.

The previous prime is 1045584629. The next prime is 1045584653. The reversal of 1045584648 is 8464855401.

It is a happy number.

1045584648 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 584 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 920636964 + 124947684 = 30342^2 + 11178^2 .

It is a super-2 number, since 2×1045584648² = 2186494512266567808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7390 + ... + 46322.

Almost surely, 2^1045584648 is an apocalyptic number.

1045584648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1045584648 is an abundant number, since it is smaller than the sum of its proper divisors (1793871972).

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

1045584648 is a wasteful number, since it uses less digits than its factorization.

1045584648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39318 (or 39311 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 1045584648 is about 32335.5013568678. The cubic root of 1045584648 is about 1014.9696733560.

The spelling of 1045584648 in words is "one billion, forty-five million, five hundred eighty-four thousand, six hundred forty-eight".