1079226126 has 256 divisors, whose sum is σ = 2919628800. Its totient is φ = 292118400.

The previous prime is 1079226119. The next prime is 1079226133. The reversal of 1079226126 is 6216229701.

1079226126 is a `hidden beast` number, since 10 + 7 + 9 + 22 + 612 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1079226119) and next prime (1079226133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22962235 + ... + 22962281.

It is an arithmetic number, because the mean of its divisors is an integer number (11404800).

Almost surely, 2^1079226126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079226126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459814400).

1079226126 is an abundant number, since it is smaller than the sum of its proper divisors (1840402674).

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

1079226126 is a wasteful number, since it uses less digits than its factorization.

1079226126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1079226126 is about 32851.5772224105. The cubic root of 1079226126 is about 1025.7404527980.

The spelling of 1079226126 in words is "one billion, seventy-nine million, two hundred twenty-six thousand, one hundred twenty-six".