890575560 has 224 divisors, whose sum is σ = 3434293440. Its totient is φ = 203513472.

The previous prime is 890575547. The next prime is 890575561. The reversal of 890575560 is 65575098.

890575560 is a `hidden beast` number, since 8 + 90 + 5 + 7 + 556 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (890575561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 201939 + ... + 206301.

Almost surely, 2^890575560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890575560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717146720).

890575560 is an abundant number, since it is smaller than the sum of its proper divisors (2543717880).

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

890575560 is a wasteful number, since it uses less digits than its factorization.

890575560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 890575560 is about 29842.5126287985. The cubic root of 890575560 is about 962.1074794586.

The spelling of 890575560 in words is "eight hundred ninety million, five hundred seventy-five thousand, five hundred sixty".