1375680 has 56 divisors (see below), whose sum is σ = 4370832. Its totient is φ = 366592.

The previous prime is 1375679. The next prime is 1375681. The reversal of 1375680 is 865731.

It is an interprime number because it is at equal distance from previous prime (1375679) and next prime (1375681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 1676.

2^1375680 is an apocalyptic number.

1375680 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 1375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185416).

1375680 is an abundant number, since it is smaller than the sum of its proper divisors (2995152).

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

1375680 is a wasteful number, since it uses less digits than its factorization.

1375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1375680 is about 1172.8938570902. The cubic root of 1375680 is about 111.2173324949.

The spelling of 1375680 in words is "one million, three hundred seventy-five thousand, six hundred eighty".