1355600 has 30 divisors (see below), whose sum is σ = 3257790. Its totient is φ = 542080.

The previous prime is 1355591. The next prime is 1355609. The reversal of 1355600 is 65531.

It is an interprime number because it is at equal distance from previous prime (1355591) and next prime (1355609).

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 976144 = 616^2 + 988^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1295 + ... + 2094.

It is an arithmetic number, because the mean of its divisors is an integer number (108593).

2^1355600 is an apocalyptic number.

1355600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355600 is an abundant number, since it is smaller than the sum of its proper divisors (1902190).

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

1355600 is a wasteful number, since it uses less digits than its factorization.

1355600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1355600 is about 1164.3023662262. The cubic root of 1355600 is about 110.6735532238.

The spelling of 1355600 in words is "one million, three hundred fifty-five thousand, six hundred".