1540224 has 96 divisors (see below), whose sum is σ = 5091840. Its totient is φ = 437760.

The previous prime is 1540223. The next prime is 1540229. The reversal of 1540224 is 4220451.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 1540197 and 1540206.

It is not an unprimeable number, because it can be changed into a prime (1540223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7969 + ... + 8159.

It is an arithmetic number, because the mean of its divisors is an integer number (53040).

2^1540224 is an apocalyptic number.

1540224 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 1540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545920).

1540224 is an abundant number, since it is smaller than the sum of its proper divisors (3551616).

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

1540224 is a wasteful number, since it uses less digits than its factorization.

1540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1540224 is about 1241.0576134894. The cubic root of 1540224 is about 115.4856337897.

Adding to 1540224 its reverse (4220451), we get a palindrome (5760675).

It can be divided in two parts, 1540 and 224, that added together give a square (1764 = 42²).

The spelling of 1540224 in words is "one million, five hundred forty thousand, two hundred twenty-four".