1068772320 has 1008 divisors, whose sum is σ = 5086752048. Its totient is φ = 209018880.

The previous prime is 1068772261. The next prime is 1068772333. The reversal of 1068772320 is 232778601.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1068772320² = 2284548543996364800, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 62868952 + ... + 62868968.

It is an arithmetic number, because the mean of its divisors is an integer number (5046381).

Almost surely, 2^1068772320 is an apocalyptic number.

1068772320 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 1068772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543376024).

1068772320 is an abundant number, since it is smaller than the sum of its proper divisors (4017979728).

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

1068772320 is a wasteful number, since it uses less digits than its factorization.

1068772320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1068772320 is about 32692.0834453848. The cubic root of 1068772320 is about 1022.4177937788.

The spelling of 1068772320 in words is "one billion, sixty-eight million, seven hundred seventy-two thousand, three hundred twenty".