1356080 has 80 divisors (see below), whose sum is σ = 3642624. Its totient is φ = 464640.

The previous prime is 1356079. The next prime is 1356083. The reversal of 1356080 is 806531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (1356083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20207 + ... + 20273.

2^1356080 is an apocalyptic number.

1356080 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 1356080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821312).

1356080 is an abundant number, since it is smaller than the sum of its proper divisors (2286544).

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

1356080 is a wasteful number, since it uses less digits than its factorization.

1356080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1356080 is about 1164.5084800035. The cubic root of 1356080 is about 110.6866143620.

The spelling of 1356080 in words is "one million, three hundred fifty-six thousand, eighty".