1355920 has 40 divisors (see below), whose sum is σ = 3341304. Its totient is φ = 509952.

The previous prime is 1355917. The next prime is 1355923. The reversal of 1355920 is 295531.

It is an interprime number because it is at equal distance from previous prime (1355917) and next prime (1355923).

It can be written as a sum of positive squares in 4 ways, for example, as 524176 + 831744 = 724^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1355923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862 + ... + 1858.

2^1355920 is an apocalyptic number.

1355920 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 1355920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670652).

1355920 is an abundant number, since it is smaller than the sum of its proper divisors (1985384).

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

1355920 is a wasteful number, since it uses less digits than its factorization.

1355920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 1355920 is about 1164.4397794648. The cubic root of 1355920 is about 110.6822609918.

The spelling of 1355920 in words is "one million, three hundred fifty-five thousand, nine hundred twenty".