890652672 has 480 divisors, whose sum is σ = 3329726400. Its totient is φ = 230916096.

The previous prime is 890652671. The next prime is 890652709. The reversal of 890652672 is 276256098.

It is not an unprimeable number, because it can be changed into a prime (890652671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15095779 + ... + 15095837.

It is an arithmetic number, because the mean of its divisors is an integer number (6936930).

Almost surely, 2^890652672 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 890652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664863200).

890652672 is an abundant number, since it is smaller than the sum of its proper divisors (2439073728).

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

890652672 is a wasteful number, since it uses less digits than its factorization.

890652672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 890652672 is about 29843.8045831962. The cubic root of 890652672 is about 962.1352472281.

The spelling of 890652672 in words is "eight hundred ninety million, six hundred fifty-two thousand, six hundred seventy-two".