826545060 has 144 divisors (see below), whose sum is σ = 2836596672. Its totient is φ = 200361600.

The previous prime is 826545029. The next prime is 826545067. The reversal of 826545060 is 60545628.

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 (826545067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45730 + ... + 61190.

It is an arithmetic number, because the mean of its divisors is an integer number (19698588).

Almost surely, 2^826545060 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 826545060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418298336).

826545060 is an abundant number, since it is smaller than the sum of its proper divisors (2010051612).

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

826545060 is a wasteful number, since it uses less digits than its factorization.

826545060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15496 (or 15482 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 826545060 is about 28749.6966940523. The cubic root of 826545060 is about 938.4738552294.

The spelling of 826545060 in words is "eight hundred twenty-six million, five hundred forty-five thousand, sixty".