1301920 has 48 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 509184.

The previous prime is 1301903. The next prime is 1301921. The reversal of 1301920 is 291031.

1301920 = T₄₁ + T₄₂ + ... + T₁₉₈.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1301894 and 1301903.

It is not an unprimeable number, because it can be changed into a prime (1301921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12589 + ... + 12691.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2^1301920 is an apocalyptic number.

1301920 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 1301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1301920 is an abundant number, since it is smaller than the sum of its proper divisors (1843040).

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

1301920 is a wasteful number, since it uses less digits than its factorization.

1301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1301920 is about 1141.0170901437. The cubic root of 1301920 is about 109.1929919872.

Adding to 1301920 its reverse (291031), we get a palindrome (1592951).

The spelling of 1301920 in words is "one million, three hundred one thousand, nine hundred twenty".