1138416 has 40 divisors (see below), whose sum is σ = 3025104. Its totient is φ = 368640.

The previous prime is 1138411. The next prime is 1138427. The reversal of 1138416 is 6148311.

It is a super-3 number, since 3×1138416³ = 4426130633391525888, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1456 + ... + 2096.

2^1138416 is an apocalyptic number.

1138416 is a gapful number since it is divisible by the number (16) 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 1138416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512552).

1138416 is an abundant number, since it is smaller than the sum of its proper divisors (1886688).

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

1138416 is a wasteful number, since it uses less digits than its factorization.

1138416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 1138416 is about 1066.9657913916. The cubic root of 1138416 is about 104.4159867475.

The spelling of 1138416 in words is "one million, one hundred thirty-eight thousand, four hundred sixteen".