890625960 has 288 divisors, whose sum is σ = 3485219400. Its totient is φ = 196439040.

The previous prime is 890625907. The next prime is 890625961. The reversal of 890625960 is 69526098.

It can be written as a sum of positive squares in 4 ways, for example, as 408120804 + 482505156 = 20202^2 + 21966^2 .

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 (890625961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 510690 + ... + 512430.

Almost surely, 2^890625960 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 890625960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742609700).

890625960 is an abundant number, since it is smaller than the sum of its proper divisors (2594593440).

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

890625960 is a wasteful number, since it uses less digits than its factorization.

890625960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 890625960 is about 29843.3570497690. The cubic root of 890625960 is about 962.1256285090.

The spelling of 890625960 in words is "eight hundred ninety million, six hundred twenty-five thousand, nine hundred sixty".