1388100 has 72 divisors (see below), whose sum is σ = 4596928. Its totient is φ = 316800.

The previous prime is 1388081. The next prime is 1388113. The reversal of 1388100 is 18831.

It is a happy number.

It is a super-2 number, since 2×1388100² = 3853643220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1770 + ... + 2430.

2^1388100 is an apocalyptic number.

1388100 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 1388100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298464).

1388100 is an abundant number, since it is smaller than the sum of its proper divisors (3208828).

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

1388100 is a wasteful number, since it uses less digits than its factorization.

1388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1388100 is about 1178.1765572273. The cubic root of 1388100 is about 111.5510300176.

The spelling of 1388100 in words is "one million, three hundred eighty-eight thousand, one hundred".