1353820 has 48 divisors (see below), whose sum is σ = 3161088. Its totient is φ = 483840.

The previous prime is 1353809. The next prime is 1353827. The reversal of 1353820 is 283531.

1353820 = T₄₆₉ + T₄₇₀ + ... + T₄₈₀.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1353791 and 1353800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10597 + ... + 10723.

It is an arithmetic number, because the mean of its divisors is an integer number (65856).

2^1353820 is an apocalyptic number.

1353820 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 1353820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580544).

1353820 is an abundant number, since it is smaller than the sum of its proper divisors (1807268).

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

1353820 is a wasteful number, since it uses less digits than its factorization.

1353820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1353820 is about 1163.5377088861. The cubic root of 1353820 is about 110.6250912359.

The spelling of 1353820 in words is "one million, three hundred fifty-three thousand, eight hundred twenty".