1355640 has 128 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 299520.

The previous prime is 1355623. The next prime is 1355647. The reversal of 1355640 is 465531.

It is a super-4 number, since 4×1355640⁴ (a number of 26 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1355640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17121 + ... + 17199.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2^1355640 is an apocalyptic number.

1355640 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 1355640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

1355640 is an abundant number, since it is smaller than the sum of its proper divisors (3482760).

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

1355640 is a wasteful number, since it uses less digits than its factorization.

1355640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1355640 is about 1164.3195437679. The cubic root of 1355640 is about 110.6746417697.

It can be divided in two parts, 135 and 5640, that added together give a palindrome (5775).

The spelling of 1355640 in words is "one million, three hundred fifty-five thousand, six hundred forty".