1068477120 has 252 divisors, whose sum is σ = 3791065824. Its totient is φ = 276203520.

The previous prime is 1068477119. The next prime is 1068477169. The reversal of 1068477120 is 217748601.

1068477120 is a `hidden beast` number, since 1 + 0 + 68 + 477 + 120 = 666.

It is a super-2 number, since 2×1068477120² = 2283286711926988800, 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 35 ways as a sum of consecutive naturals, for example, 3942585 + ... + 3942855.

It is an arithmetic number, because the mean of its divisors is an integer number (15043912).

Almost surely, 2^1068477120 is an apocalyptic number.

1068477120 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 1068477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895532912).

1068477120 is an abundant number, since it is smaller than the sum of its proper divisors (2722588704).

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

1068477120 is a wasteful number, since it uses less digits than its factorization.

1068477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1068477120 is about 32687.5682790874. The cubic root of 1068477120 is about 1022.3236528911.

The spelling of 1068477120 in words is "one billion, sixty-eight million, four hundred seventy-seven thousand, one hundred twenty".