826841520 has 120 divisors (see below), whose sum is σ = 2879721936. Its totient is φ = 220485888.

The previous prime is 826841507. The next prime is 826841527. The reversal of 826841520 is 25148628.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (826841527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1827 + ... + 40706.

Almost surely, 2^826841520 is an apocalyptic number.

826841520 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 826841520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439860968).

826841520 is an abundant number, since it is smaller than the sum of its proper divisors (2052880416).

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

826841520 is a wasteful number, since it uses less digits than its factorization.

826841520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42561 (or 42543 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 826841520 is about 28754.8521122958. The cubic root of 826841520 is about 938.5860437903.

The spelling of 826841520 in words is "eight hundred twenty-six million, eight hundred forty-one thousand, five hundred twenty".