1079120 has 80 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 353280.

The previous prime is 1079107. The next prime is 1079123. The reversal of 1079120 is 219701.

1079120 = T₇₉ + T₈₀ + ... + T₁₉₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1079092 and 1079101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22937 + ... + 22983.

2^1079120 is an apocalyptic number.

1079120 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 1079120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1079120 is an abundant number, since it is smaller than the sum of its proper divisors (1920688).

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

1079120 is a wasteful number, since it uses less digits than its factorization.

1079120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1079120 is about 1038.8070080626. The cubic root of 1079120 is about 102.5706829539.

1079120 divided by its sum of digits (20) gives a triangular number (53956 = T₃₂₈).

The spelling of 1079120 in words is "one million, seventy-nine thousand, one hundred twenty".