826863840 has 144 divisors (see below), whose sum is σ = 3078247536. Its totient is φ = 200448000.

The previous prime is 826863839. The next prime is 826863881. The reversal of 826863840 is 48368628.

It is a happy number.

826863840 is a `hidden beast` number, since 8 + 2 + 6 + 8 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10261 + ... + 41940.

It is an arithmetic number, because the mean of its divisors is an integer number (21376719).

Almost surely, 2^826863840 is an apocalyptic number.

826863840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539123768).

826863840 is an abundant number, since it is smaller than the sum of its proper divisors (2251383696).

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

826863840 is a wasteful number, since it uses less digits than its factorization.

826863840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52233 (or 52222 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 826863840 is about 28755.2402180889. The cubic root of 826863840 is about 938.5944892024.

The spelling of 826863840 in words is "eight hundred twenty-six million, eight hundred sixty-three thousand, eight hundred forty".