1325120 has 56 divisors (see below), whose sum is σ = 3264408. Its totient is φ = 512000.

The previous prime is 1325119. The next prime is 1325123. The reversal of 1325120 is 215231.

It is a happy number.

1325120 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 141376 + 1183744 = 376^2 + 1088^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1325095 and 1325104.

It is not an unprimeable number, because it can be changed into a prime (1325123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13070 + ... + 13170.

It is an arithmetic number, because the mean of its divisors is an integer number (58293).

2^1325120 is an apocalyptic number.

1325120 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 1325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632204).

1325120 is an abundant number, since it is smaller than the sum of its proper divisors (1939288).

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

1325120 is a wasteful number, since it uses less digits than its factorization.

1325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1325120 is about 1151.1385668111. The cubic root of 1325120 is about 109.8377774086.

The spelling of 1325120 in words is "one million, three hundred twenty-five thousand, one hundred twenty".