1126026000 has 480 divisors, whose sum is σ = 4417860096. Its totient is φ = 267168000.

The previous prime is 1126025983. The next prime is 1126026049. The reversal of 1126026000 is 6206211.

It is a happy number.

1126026000 is a `hidden beast` number, since 1 + 1 + 2 + 60 + 2 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23957977 + ... + 23958023.

Almost surely, 2^1126026000 is an apocalyptic number.

1126026000 is a gapful number since it is divisible by the number (10) 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 1126026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208930048).

1126026000 is an abundant number, since it is smaller than the sum of its proper divisors (3291834096).

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

1126026000 is a wasteful number, since it uses less digits than its factorization.

1126026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1126026000 is about 33556.3108818595. The cubic root of 1126026000 is about 1040.3579881992.

The spelling of 1126026000 in words is "one billion, one hundred twenty-six million, twenty-six thousand".