1349120 has 80 divisors (see below), whose sum is σ = 3535488. Its totient is φ = 491520.

The previous prime is 1349119. The next prime is 1349129. The reversal of 1349120 is 219431.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 1349092 and 1349101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349129) 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, 43505 + ... + 43535.

2^1349120 is an apocalyptic number.

1349120 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 1349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767744).

1349120 is an abundant number, since it is smaller than the sum of its proper divisors (2186368).

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

1349120 is an equidigital number, since it uses as much as digits as its factorization.

1349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1349120 is about 1161.5162504244. The cubic root of 1349120 is about 110.4969253118.

The spelling of 1349120 in words is "one million, three hundred forty-nine thousand, one hundred twenty".