1061095680 has 144 divisors (see below), whose sum is σ = 3765538560. Its totient is φ = 282949632.

The previous prime is 1061095663. The next prime is 1061095699. The reversal of 1061095680 is 865901601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1061095680² = 2251848084229324800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19209 + ... + 49911.

Almost surely, 2^1061095680 is an apocalyptic number.

1061095680 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 1061095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882769280).

1061095680 is an abundant number, since it is smaller than the sum of its proper divisors (2704442880).

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

1061095680 is an equidigital number, since it uses as much as digits as its factorization.

1061095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30733 (or 30713 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1061095680 is about 32574.4636179938. The cubic root of 1061095680 is about 1019.9640125711.

The spelling of 1061095680 in words is "one billion, sixty-one million, ninety-five thousand, six hundred eighty".