838890 has 64 divisors (see below), whose sum is σ = 2419200. Its totient is φ = 205632.

The previous prime is 838889. The next prime is 838897. The reversal of 838890 is 98838.

838890 = 248² + 249² + ... + 260².

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838890.

It is not an unprimeable number, because it can be changed into a prime (838897) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3391 + ... + 3629.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁸³⁸⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209600).

838890 is an abundant number, since it is smaller than the sum of its proper divisors (1580310).

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

838890 is a wasteful number, since it uses less digits than its factorization.

838890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 838890 is about 915.9093841642. The cubic root of 838890 is about 94.3123006490.

It can be divided in two parts, 838 and 890, that added together give a cube (1728 = 12³).

The spelling of 838890 in words is "eight hundred thirty-eight thousand, eight hundred ninety".