1079144064 has 192 divisors, whose sum is σ = 3341520000. Its totient is φ = 333213696.

The previous prime is 1079144063. The next prime is 1079144089. The reversal of 1079144064 is 4604419701.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (1079144063) 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, 1028212 + ... + 1029260.

It is an arithmetic number, because the mean of its divisors is an integer number (17403750).

Almost surely, 2^1079144064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760000).

1079144064 is an abundant number, since it is smaller than the sum of its proper divisors (2262375936).

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

1079144064 is a wasteful number, since it uses less digits than its factorization.

1079144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1079144064 is about 32850.3282175384. The cubic root of 1079144064 is about 1025.7144537837.

The spelling of 1079144064 in words is "one billion, seventy-nine million, one hundred forty-four thousand, sixty-four".