890320416 has 96 divisors (see below), whose sum is σ = 2447444160. Its totient is φ = 283014144.

The previous prime is 890320399. The next prime is 890320427. The reversal of 890320416 is 614023098.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229146 + ... + 232998.

It is an arithmetic number, because the mean of its divisors is an integer number (25494210).

Almost surely, 2^890320416 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 890320416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223722080).

890320416 is an abundant number, since it is smaller than the sum of its proper divisors (1557123744).

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

890320416 is a wasteful number, since it uses less digits than its factorization.

890320416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 890320416 is about 29838.2374814599. The cubic root of 890320416 is about 962.0155915425.

The spelling of 890320416 in words is "eight hundred ninety million, three hundred twenty thousand, four hundred sixteen".