1345680 has 160 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 304128.

The previous prime is 1345667. The next prime is 1345691. The reversal of 1345680 is 865431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15076 + ... + 15164.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2^1345680 is an apocalyptic number.

1345680 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 1345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

1345680 is an abundant number, since it is smaller than the sum of its proper divisors (4011120).

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

1345680 is a wasteful number, since it uses less digits than its factorization.

1345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1345680 is about 1160.0344822461. The cubic root of 1345680 is about 110.4029299789.

Subtracting from 1345680 its reverse (865431), we obtain a square (480249 = 693²).

It can be divided in two parts, 1345 and 680, that added together give a square (2025 = 45²).

The spelling of 1345680 in words is "one million, three hundred forty-five thousand, six hundred eighty".