1045561608 has 480 divisors, whose sum is σ = 3910599000. Its totient is φ = 257789952.

The previous prime is 1045561579. The next prime is 1045561613. The reversal of 1045561608 is 8061655401.

1045561608 is a `hidden beast` number, since 1 + 0 + 45 + 5 + 6 + 1 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 654234084 + 391327524 = 25578^2 + 19782^2 .

It is a super-3 number, since 3×1045561608³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7017118 + ... + 7017266.

Almost surely, 2^1045561608 is an apocalyptic number.

1045561608 is a gapful number since it is divisible by the number (18) 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 1045561608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955299500).

1045561608 is an abundant number, since it is smaller than the sum of its proper divisors (2865037392).

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

1045561608 is a wasteful number, since it uses less digits than its factorization.

1045561608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1045561608 is about 32335.1450901337. The cubic root of 1045561608 is about 1014.9622181735.

The spelling of 1045561608 in words is "one billion, forty-five million, five hundred sixty-one thousand, six hundred eight".