1079292960 has 288 divisors, whose sum is σ = 3872074752. Its totient is φ = 273438720.

The previous prime is 1079292953. The next prime is 1079292983. The reversal of 1079292960 is 692929701.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503945 + ... + 2504375.

It is an arithmetic number, because the mean of its divisors is an integer number (13444704).

Almost surely, 2^1079292960 is an apocalyptic number.

1079292960 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 1079292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936037376).

1079292960 is an abundant number, since it is smaller than the sum of its proper divisors (2792781792).

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

1079292960 is a wasteful number, since it uses less digits than its factorization.

1079292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1079292960 is about 32852.5944180973. The cubic root of 1079292960 is about 1025.7616262792.

It can be divided in two parts, 107929 and 2960, that added together give a square (110889 = 333²).

The spelling of 1079292960 in words is "one billion, seventy-nine million, two hundred ninety-two thousand, nine hundred sixty".