1065120 has 96 divisors (see below), whose sum is σ = 3846528. Its totient is φ = 242688.

The previous prime is 1065109. The next prime is 1065131. The reversal of 1065120 is 215601.

1065120 = T₂₂₉ + T₂₃₀ + ... + T₂₆₃.

It is an interprime number because it is at equal distance from previous prime (1065109) and next prime (1065131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1065120² = 2268961228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1065120.

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, 3202 + ... + 3518.

It is an arithmetic number, because the mean of its divisors is an integer number (40068).

2^1065120 is an apocalyptic number.

1065120 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 1065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923264).

1065120 is an abundant number, since it is smaller than the sum of its proper divisors (2781408).

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

1065120 is a wasteful number, since it uses less digits than its factorization.

1065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1065120 is about 1032.0465105798. The cubic root of 1065120 is about 102.1251827118.

The spelling of 1065120 in words is "one million, sixty-five thousand, one hundred twenty".