826050960 has 200 divisors, whose sum is σ = 3279034176. Its totient is φ = 188801280.

The previous prime is 826050949. The next prime is 826050977. The reversal of 826050960 is 69050628.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36255 + ... + 54465.

Almost surely, 2^826050960 is an apocalyptic number.

826050960 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 826050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639517088).

826050960 is an abundant number, since it is smaller than the sum of its proper divisors (2452983216).

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

826050960 is a wasteful number, since it uses less digits than its factorization.

826050960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18243 (or 18228 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 826050960 is about 28741.1022753130. The cubic root of 826050960 is about 938.2868146661.

The spelling of 826050960 in words is "eight hundred twenty-six million, fifty thousand, nine hundred sixty".