1387680 has 144 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 311808.

The previous prime is 1387669. The next prime is 1387681. The reversal of 1387680 is 867831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23491 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2^1387680 is an apocalyptic number.

1387680 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 1387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

1387680 is an abundant number, since it is smaller than the sum of its proper divisors (3783360).

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

1387680 is a wasteful number, since it uses less digits than its factorization.

1387680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1387680 is about 1177.9983022059. The cubic root of 1387680 is about 111.5397781484.

The spelling of 1387680 in words is "one million, three hundred eighty-seven thousand, six hundred eighty".