1353620 has 24 divisors (see below), whose sum is σ = 2898504. Its totient is φ = 530816.

The previous prime is 1353613. The next prime is 1353629. The reversal of 1353620 is 263531.

It can be written as a sum of positive squares in 4 ways, for example, as 329476 + 1024144 = 574^2 + 1012^2 .

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 = 1353592 and 1353601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353629) 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, 422 + ... + 1698.

It is an arithmetic number, because the mean of its divisors is an integer number (120771).

2^1353620 is an apocalyptic number.

1353620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353620 is an abundant number, since it is smaller than the sum of its proper divisors (1544884).

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

1353620 is a wasteful number, since it uses less digits than its factorization.

1353620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1353620 is about 1163.4517609252. The cubic root of 1353620 is about 110.6196434148.

The spelling of 1353620 in words is "one million, three hundred fifty-three thousand, six hundred twenty".