1061131680 has 432 divisors, whose sum is σ = 4347907200. Its totient is φ = 230833152.

The previous prime is 1061131651. The next prime is 1061131681. The reversal of 1061131680 is 861311601.

1061131680 is a `hidden beast` number, since 10 + 611 + 31 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×1061131680² = 2252000884599244800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061131681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5332221 + ... + 5332419.

It is an arithmetic number, because the mean of its divisors is an integer number (10064600).

Almost surely, 2^1061131680 is an apocalyptic number.

1061131680 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 1061131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173953600).

1061131680 is an abundant number, since it is smaller than the sum of its proper divisors (3286775520).

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

1061131680 is a wasteful number, since it uses less digits than its factorization.

1061131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1061131680 is about 32575.0161933958. The cubic root of 1061131680 is about 1019.9755472800.

The spelling of 1061131680 in words is "one billion, sixty-one million, one hundred thirty-one thousand, six hundred eighty".