1061758368 has 144 divisors (see below), whose sum is σ = 3416134176. Its totient is φ = 321719040.

The previous prime is 1061758367. The next prime is 1061758387. The reversal of 1061758368 is 8638571601.

1061758368 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 7 + 583 + 68 = 666.

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

It is a super-2 number, since 2×1061758368² = 2254661664036046848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061758367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79330 + ... + 91742.

It is an arithmetic number, because the mean of its divisors is an integer number (23723154).

Almost surely, 2^1061758368 is an apocalyptic number.

1061758368 is a gapful number since it is divisible by the number (18) 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 1061758368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708067088).

1061758368 is an abundant number, since it is smaller than the sum of its proper divisors (2354375808).

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

1061758368 is a wasteful number, since it uses less digits than its factorization.

1061758368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449 (or 12429 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1061758368 is about 32584.6339245970. The cubic root of 1061758368 is about 1020.1763017053.

The spelling of 1061758368 in words is "one billion, sixty-one million, seven hundred fifty-eight thousand, three hundred sixty-eight".