1361520 has 120 divisors (see below), whose sum is σ = 4797312. Its totient is φ = 345600.

The previous prime is 1361497. The next prime is 1361533. The reversal of 1361520 is 251631.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1361493 and 1361502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22290 + ... + 22350.

2^1361520 is an apocalyptic number.

1361520 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 1361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398656).

1361520 is an abundant number, since it is smaller than the sum of its proper divisors (3435792).

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

1361520 is a wasteful number, since it uses less digits than its factorization.

1361520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

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

The square root of 1361520 is about 1166.8418916031. The cubic root of 1361520 is about 110.8344256524.

It can be divided in two parts, 1361 and 520, that added together give a palindrome (1881).

The spelling of 1361520 in words is "one million, three hundred sixty-one thousand, five hundred twenty".