1124864 has 40 divisors (see below), whose sum is σ = 2434740. Its totient is φ = 519168.

The previous prime is 1124833. The next prime is 1124867. The reversal of 1124864 is 4684211.

The cubic root of 1124864 is 104.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 774400 = 592^2 + 880^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1124867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86522 + ... + 86534.

2^1124864 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 1124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217370).

1124864 is an abundant number, since it is smaller than the sum of its proper divisors (1309876).

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

1124864 is an frugal number, since it uses more digits than its factorization.

1124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 15 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 1124864 is about 1060.5960588273.

Multiplying 1124864 by its sum of digits (26), we get a square (29246464 = 5408²).

1124864 divided by its sum of digits (26) gives a square (43264 = 208²).

It can be divided in two parts, 112486 and 4, that multiplied together give a palindrome (449944).

The spelling of 1124864 in words is "one million, one hundred twenty-four thousand, eight hundred sixty-four".