1131624 has 96 divisors (see below), whose sum is σ = 3513600. Its totient is φ = 336960.

The previous prime is 1131617. The next prime is 1131629. The reversal of 1131624 is 4261311.

It is a happy number.

1131624 is a `hidden beast` number, since 11 + 31 + 624 = 666.

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

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

Its product of digits (144) is a multiple of the sum of its prime factors (72).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1131597 and 1131606.

It is not an unprimeable number, because it can be changed into a prime (1131629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36489 + ... + 36519.

It is an arithmetic number, because the mean of its divisors is an integer number (36600).

2^1131624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756800).

1131624 is an abundant number, since it is smaller than the sum of its proper divisors (2381976).

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

1131624 is a wasteful number, since it uses less digits than its factorization.

1131624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

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

The square root of 1131624 is about 1063.7781723649. The cubic root of 1131624 is about 104.2079173867.

Adding to 1131624 its reverse (4261311), we get a palindrome (5392935).

The spelling of 1131624 in words is "one million, one hundred thirty-one thousand, six hundred twenty-four".