1138720 has 48 divisors (see below), whose sum is σ = 2939328. Its totient is φ = 413440.

The previous prime is 1138717. The next prime is 1138729. The reversal of 1138720 is 278311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1138691 and 1138700.

It is not an unprimeable number, because it can be changed into a prime (1138729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1437 + ... + 2083.

It is an arithmetic number, because the mean of its divisors is an integer number (61236).

2^1138720 is an apocalyptic number.

1138720 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 1138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469664).

1138720 is an abundant number, since it is smaller than the sum of its proper divisors (1800608).

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

1138720 is a wasteful number, since it uses less digits than its factorization.

1138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1138720 is about 1067.1082419324. The cubic root of 1138720 is about 104.4252802556.

The spelling of 1138720 in words is "one million, one hundred thirty-eight thousand, seven hundred twenty".