890528064 has 112 divisors (see below), whose sum is σ = 2418892800. Its totient is φ = 289046016.

The previous prime is 890528063. The next prime is 890528071. The reversal of 890528064 is 460825098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890528063) 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, 1438347 + ... + 1438965.

Almost surely, 2^890528064 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 890528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209446400).

890528064 is an abundant number, since it is smaller than the sum of its proper divisors (1528364736).

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

890528064 is a wasteful number, since it uses less digits than its factorization.

890528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 890528064 is about 29841.7168406913. The cubic root of 890528064 is about 962.0903755124.

The spelling of 890528064 in words is "eight hundred ninety million, five hundred twenty-eight thousand, sixty-four".