1126327680 has 160 divisors (see below), whose sum is σ = 4022504640. Its totient is φ = 300340224.

The previous prime is 1126327667. The next prime is 1126327691. The reversal of 1126327680 is 867236211.

1126327680 is a `hidden beast` number, since 1 + 12 + 632 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1126327680² = 2537228085468364800, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 40977 + ... + 62703.

It is an arithmetic number, because the mean of its divisors is an integer number (25140654).

Almost surely, 2^1126327680 is an apocalyptic number.

1126327680 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 1126327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011252320).

1126327680 is an abundant number, since it is smaller than the sum of its proper divisors (2896176960).

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

1126327680 is an equidigital number, since it uses as much as digits as its factorization.

1126327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21758 (or 21737 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1126327680 is about 33560.8057114247. The cubic root of 1126327680 is about 1040.4508893025.

The spelling of 1126327680 in words is "one billion, one hundred twenty-six million, three hundred twenty-seven thousand, six hundred eighty".