1353540 has 48 divisors (see below), whose sum is σ = 4015872. Its totient is φ = 339456.

The previous prime is 1353487. The next prime is 1353551. The reversal of 1353540 is 453531.

1353540 = T₂₆₅ + T₂₆₆ + ... + T₂₉₈.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (83664).

2^1353540 is an apocalyptic number.

1353540 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 1353540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007936).

1353540 is an abundant number, since it is smaller than the sum of its proper divisors (2662332).

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

1353540 is a wasteful number, since it uses less digits than its factorization.

1353540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1353540 is about 1163.4173799630. The cubic root of 1353540 is about 110.6174641360.

Subtracting from 1353540 its reverse (453531), we obtain a palindrome (900009).

The spelling of 1353540 in words is "one million, three hundred fifty-three thousand, five hundred forty".