1201824 has 96 divisors (see below), whose sum is σ = 3810240. Its totient is φ = 366336.

The previous prime is 1201813. The next prime is 1201829. The reversal of 1201824 is 4281021.

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 = 1201797 and 1201806.

It is not an unprimeable number, because it can be changed into a prime (1201829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11179 + ... + 11285.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2^1201824 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 1201824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120).

1201824 is an abundant number, since it is smaller than the sum of its proper divisors (2608416).

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

1201824 is a wasteful number, since it uses less digits than its factorization.

1201824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1201824 is about 1096.2773371734. The cubic root of 1201824 is about 106.3196710292.

Adding to 1201824 its reverse (4281021), we get a palindrome (5482845).

It can be divided in two parts, 1201 and 824, that added together give a square (2025 = 45²).

The spelling of 1201824 in words is "one million, two hundred one thousand, eight hundred twenty-four".