1079601120 has 288 divisors, whose sum is σ = 4013833824. Its totient is φ = 262656000.

The previous prime is 1079601113. The next prime is 1079601191. The reversal of 1079601120 is 211069701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1890435 + ... + 1891005.

It is an arithmetic number, because the mean of its divisors is an integer number (13936923).

Almost surely, 2^1079601120 is an apocalyptic number.

1079601120 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 1079601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006916912).

1079601120 is an abundant number, since it is smaller than the sum of its proper divisors (2934232704).

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

1079601120 is a wasteful number, since it uses less digits than its factorization.

1079601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1079601120 is about 32857.2841239199. The cubic root of 1079601120 is about 1025.8592422294.

The spelling of 1079601120 in words is "one billion, seventy-nine million, six hundred one thousand, one hundred twenty".