1365120 has 128 divisors (see below), whose sum is σ = 4896000. Its totient is φ = 359424.

The previous prime is 1365109. The next prime is 1365127. The reversal of 1365120 is 215631.

1365120 = T₁₄₅ + T₁₄₆ + ... + T₂₂₃.

1365120 is a `hidden beast` number, since 13 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1365120² = 3727105228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1365093 and 1365102.

It is not an unprimeable number, because it can be changed into a prime (1365127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17241 + ... + 17319.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2^1365120 is an apocalyptic number.

1365120 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 1365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448000).

1365120 is an abundant number, since it is smaller than the sum of its proper divisors (3530880).

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

1365120 is an equidigital number, since it uses as much as digits as its factorization.

1365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1365120 is about 1168.3834986853. The cubic root of 1365120 is about 110.9320255845.

It can be divided in two parts, 1365 and 120, that added together give a triangular number (1485 = T₅₄).

The spelling of 1365120 in words is "one million, three hundred sixty-five thousand, one hundred twenty".