849090 has 64 divisors (see below), whose sum is σ = 2322432. Its totient is φ = 196800.

The previous prime is 849083. The next prime is 849097. The reversal of 849090 is 90948.

849090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (849083) and next prime (849097).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849097) by changing a digit.

849090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10189 + ... + 10271.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2⁸⁴⁹⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216).

849090 is an abundant number, since it is smaller than the sum of its proper divisors (1473342).

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

849090 is a wasteful number, since it uses less digits than its factorization.

849090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 849090 is about 921.4607967787. The cubic root of 849090 is about 94.6930071735.

The spelling of 849090 in words is "eight hundred forty-nine thousand, ninety".