890190432 has 192 divisors, whose sum is σ = 2756678400. Its totient is φ = 278691840.

The previous prime is 890190421. The next prime is 890190439. The reversal of 890190432 is 234091098.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890190439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3463648 + ... + 3463904.

It is an arithmetic number, because the mean of its divisors is an integer number (14357700).

Almost surely, 2^890190432 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 890190432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378339200).

890190432 is an abundant number, since it is smaller than the sum of its proper divisors (1866487968).

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

890190432 is a wasteful number, since it uses less digits than its factorization.

890190432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 890190432 is about 29836.0592572142. The cubic root of 890190432 is about 961.9687721734.

The spelling of 890190432 in words is "eight hundred ninety million, one hundred ninety thousand, four hundred thirty-two".