826142058 has 192 divisors, whose sum is σ = 2242753920. Its totient is φ = 224550144.

The previous prime is 826142029. The next prime is 826142063. The reversal of 826142058 is 850241628.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6030166 + ... + 6030302.

It is an arithmetic number, because the mean of its divisors is an integer number (11681010).

Almost surely, 2^826142058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826142058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121376960).

826142058 is an abundant number, since it is smaller than the sum of its proper divisors (1416611862).

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

826142058 is a wasteful number, since it uses less digits than its factorization.

826142058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

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

The square root of 826142058 is about 28742.6870351399. The cubic root of 826142058 is about 938.3213052381.

It can be divided in two parts, 826 and 142058, that added together give a square (142884 = 378²).

The spelling of 826142058 in words is "eight hundred twenty-six million, one hundred forty-two thousand, fifty-eight".