1387100 has 72 divisors (see below), whose sum is σ = 3572688. Its totient is φ = 460800.

The previous prime is 1387069. The next prime is 1387109. The reversal of 1387100 is 17831.

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 (1387109) 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, 14252 + ... + 14348.

2^1387100 is an apocalyptic number.

1387100 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 1387100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786344).

1387100 is an abundant number, since it is smaller than the sum of its proper divisors (2185588).

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

1387100 is a wasteful number, since it uses less digits than its factorization.

1387100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 1387100 is about 1177.7520961561. The cubic root of 1387100 is about 111.5242361199.

The spelling of 1387100 in words is "one million, three hundred eighty-seven thousand, one hundred".