1126714680 has 384 divisors, whose sum is σ = 4555998720. Its totient is φ = 235146240.

The previous prime is 1126714657. The next prime is 1126714697. The reversal of 1126714680 is 864176211.

It is a happy number.

1126714680 is a `hidden beast` number, since 1 + 126 + 71 + 468 + 0 = 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, 5339775 + ... + 5339985.

It is an arithmetic number, because the mean of its divisors is an integer number (11864580).

Almost surely, 2^1126714680 is an apocalyptic number.

1126714680 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 1126714680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277999360).

1126714680 is an abundant number, since it is smaller than the sum of its proper divisors (3429284040).

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

1126714680 is a wasteful number, since it uses less digits than its factorization.

1126714680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1126714680 is about 33566.5708704360. The cubic root of 1126714680 is about 1040.5700400593.

It can be divided in two parts, 1126 and 714680, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 1126714680 in words is "one billion, one hundred twenty-six million, seven hundred fourteen thousand, six hundred eighty".