890813952 has 120 divisors (see below), whose sum is σ = 2938334256. Its totient is φ = 254509056.

The previous prime is 890813921. The next prime is 890814007. The reversal of 890813952 is 259318098.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 890813898 and 890813907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18448 + ... + 46064.

Almost surely, 2^890813952 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 890813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469167128).

890813952 is an abundant number, since it is smaller than the sum of its proper divisors (2047520304).

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

890813952 is a wasteful number, since it uses less digits than its factorization.

890813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27648 (or 27629 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 890813952 is about 29846.5065292406. The cubic root of 890813952 is about 962.1933184277.

The spelling of 890813952 in words is "eight hundred ninety million, eight hundred thirteen thousand, nine hundred fifty-two".