1138032 has 60 divisors (see below), whose sum is σ = 3643120. Its totient is φ = 324864.

The previous prime is 1138019. The next prime is 1138057. The reversal of 1138032 is 2308311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1137996 and 1138014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444 + ... + 1572.

2^1138032 is an apocalyptic number.

1138032 is a gapful number since it is divisible by the number (12) 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 1138032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821560).

1138032 is an abundant number, since it is smaller than the sum of its proper divisors (2505088).

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

1138032 is a wasteful number, since it uses less digits than its factorization.

1138032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1138032 is about 1066.7858266775. The cubic root of 1138032 is about 104.4042452143.

The spelling of 1138032 in words is "one million, one hundred thirty-eight thousand, thirty-two".