1355688 has 48 divisors (see below), whose sum is σ = 3868800. Its totient is φ = 427680.

The previous prime is 1355681. The next prime is 1355693. The reversal of 1355688 is 8865531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1355681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873 + ... + 1863.

It is an arithmetic number, because the mean of its divisors is an integer number (80600).

2^1355688 is an apocalyptic number.

1355688 is a gapful number since it is divisible by the number (18) 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 1355688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934400).

1355688 is an abundant number, since it is smaller than the sum of its proper divisors (2513112).

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

1355688 is a wasteful number, since it uses less digits than its factorization.

1355688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1015 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1355688 is about 1164.3401564835. The cubic root of 1355688 is about 110.6759479966.

The spelling of 1355688 in words is "one million, three hundred fifty-five thousand, six hundred eighty-eight".