1353888 has 48 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 451008.

The previous prime is 1353887. The next prime is 1353893. The reversal of 1353888 is 8883531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1353881) 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, 81 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (82320).

2^1353888 is an apocalyptic number.

1353888 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 1353888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975680).

1353888 is an abundant number, since it is smaller than the sum of its proper divisors (2597472).

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

1353888 is a wasteful number, since it uses less digits than its factorization.

1353888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1572 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1353888 is about 1163.5669297466. The cubic root of 1353888 is about 110.6269433729.

The spelling of 1353888 in words is "one million, three hundred fifty-three thousand, eight hundred eighty-eight".