1148224 has 56 divisors (see below), whose sum is σ = 2852928. Its totient is φ = 445440.

The previous prime is 1148219. The next prime is 1148249. The reversal of 1148224 is 4228411.

It is a tau number, because it is divible by the number of its divisors (56).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1148195 and 1148204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4812 + ... + 5044.

2^1148224 is an apocalyptic number.

1148224 is a gapful number since it is divisible by the number (14) 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 1148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426464).

1148224 is an abundant number, since it is smaller than the sum of its proper divisors (1704704).

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

1148224 is a wasteful number, since it uses less digits than its factorization.

1148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 1148224 is about 1071.5521452547. The cubic root of 1148224 is about 104.7149942933.

It can be divided in two parts, 114 and 8224, that added together give a palindrome (8338).

The spelling of 1148224 in words is "one million, one hundred forty-eight thousand, two hundred twenty-four".