890120448 has 144 divisors (see below), whose sum is σ = 3008440960. Its totient is φ = 254306304.

The previous prime is 890120443. The next prime is 890120471. The reversal of 890120448 is 844021098.

890120448 is a `hidden beast` number, since 8 + 90 + 120 + 448 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (890120443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39186 + ... + 57582.

Almost surely, 2^890120448 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 890120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504220480).

890120448 is an abundant number, since it is smaller than the sum of its proper divisors (2118320512).

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

890120448 is a wasteful number, since it uses less digits than its factorization.

890120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18429 (or 18409 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 890120448 is about 29834.8864251232. The cubic root of 890120448 is about 961.9435625162.

The spelling of 890120448 in words is "eight hundred ninety million, one hundred twenty thousand, four hundred forty-eight".