1138120 has 32 divisors (see below), whose sum is σ = 2633400. Its totient is φ = 442368.

The previous prime is 1138117. The next prime is 1138127. The reversal of 1138120 is 218311.

It can be written as a sum of positive squares in 4 ways, for example, as 1044484 + 93636 = 1022^2 + 306^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1138094 and 1138103.

It is not an unprimeable number, because it can be changed into a prime (1138127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096 + ... + 1864.

2^1138120 is an apocalyptic number.

1138120 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 1138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316700).

1138120 is an abundant number, since it is smaller than the sum of its proper divisors (1495280).

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

1138120 is a wasteful number, since it uses less digits than its factorization.

1138120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1138120 is about 1066.8270712726. The cubic root of 1138120 is about 104.4069362156.

The spelling of 1138120 in words is "one million, one hundred thirty-eight thousand, one hundred twenty".