1359120 has 80 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 310272.

The previous prime is 1359097. The next prime is 1359161. The reversal of 1359120 is 219531.

1359120 = T₂₆₁ + T₂₆₂ + ... + T₂₉₅.

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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276 + ... + 2084.

It is an arithmetic number, because the mean of its divisors is an integer number (60264).

2^1359120 is an apocalyptic number.

1359120 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 1359120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

1359120 is an abundant number, since it is smaller than the sum of its proper divisors (3462000).

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

1359120 is a wasteful number, since it uses less digits than its factorization.

1359120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1359120 is about 1165.8130210287. The cubic root of 1359120 is about 110.7692634140.

The spelling of 1359120 in words is "one million, three hundred fifty-nine thousand, one hundred twenty".