1045890720 has 576 divisors, whose sum is σ = 4428103680. Its totient is φ = 219469824.

The previous prime is 1045890691. The next prime is 1045890731. The reversal of 1045890720 is 270985401.

1045890720 is a `hidden beast` number, since 1 + 0 + 4 + 589 + 0 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8235297 + ... + 8235423.

It is an arithmetic number, because the mean of its divisors is an integer number (7687680).

Almost surely, 2^1045890720 is an apocalyptic number.

1045890720 is a gapful number since it is divisible by the number (10) 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 1045890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214051840).

1045890720 is an abundant number, since it is smaller than the sum of its proper divisors (3382212960).

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

1045890720 is a wasteful number, since it uses less digits than its factorization.

1045890720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1045890720 is about 32340.2337653889. The cubic root of 1045890720 is about 1015.0687004062.

The spelling of 1045890720 in words is "one billion, forty-five million, eight hundred ninety thousand, seven hundred twenty".