890416 has 40 divisors (see below), whose sum is σ = 1897200. Its totient is φ = 403200.

The previous prime is 890377. The next prime is 890419. The reversal of 890416 is 614098.

890416 = 55² + 56² + ... + 141².

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (890419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8766 + ... + 8866.

It is an arithmetic number, because the mean of its divisors is an integer number (47430).

2⁸⁹⁰⁴¹⁶ 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 890416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948600).

890416 is an abundant number, since it is smaller than the sum of its proper divisors (1006784).

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

890416 is a wasteful number, since it uses less digits than its factorization.

890416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 890416 is about 943.6185670068. The cubic root of 890416 is about 96.2050017354.

The spelling of 890416 in words is "eight hundred ninety thousand, four hundred sixteen".