1126177920 has 768 divisors, whose sum is σ = 4949268480. Its totient is φ = 230031360.

The previous prime is 1126177901. The next prime is 1126177933. The reversal of 1126177920 is 297716211.

It is a happy number.

1126177920 is a `hidden beast` number, since 1 + 12 + 617 + 7 + 9 + 20 = 666.

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

It is a congruent number.

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, 21248614 + ... + 21248666.

It is an arithmetic number, because the mean of its divisors is an integer number (6444360).

Almost surely, 2^1126177920 is an apocalyptic number.

1126177920 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 1126177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474634240).

1126177920 is an abundant number, since it is smaller than the sum of its proper divisors (3823090560).

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

1126177920 is a wasteful number, since it uses less digits than its factorization.

1126177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 1126177920 is about 33558.5744631681. The cubic root of 1126177920 is about 1040.4047734061.

The spelling of 1126177920 in words is "one billion, one hundred twenty-six million, one hundred seventy-seven thousand, nine hundred twenty".