826140 has 72 divisors (see below), whose sum is σ = 2700432. Its totient is φ = 188160.

The previous prime is 826129. The next prime is 826151. The reversal of 826140 is 41628.

826140 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 (826129) and next prime (826151).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

826140 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 23 ways as a sum of consecutive naturals, for example, 2800 + ... + 3080.

It is an arithmetic number, because the mean of its divisors is an integer number (37506).

2⁸²⁶¹⁴⁰ 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 826140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350216).

826140 is an abundant number, since it is smaller than the sum of its proper divisors (1874292).

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

826140 is a wasteful number, since it uses less digits than its factorization.

826140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 826140 is about 908.9224389352. The cubic root of 826140 is about 93.8320526088.

826140 divided by its sum of digits (21) gives a triangular number (39340 = T₂₈₀).

Adding to 826140 its reverse (41628), we get a palindrome (867768).

The spelling of 826140 in words is "eight hundred twenty-six thousand, one hundred forty".