1385824 has 48 divisors (see below), whose sum is σ = 3096576. Its totient is φ = 604800.

The previous prime is 1385809. The next prime is 1385827. The reversal of 1385824 is 4285831.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10849 + ... + 10975.

It is an arithmetic number, because the mean of its divisors is an integer number (64512).

2^1385824 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 1385824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548288).

1385824 is an abundant number, since it is smaller than the sum of its proper divisors (1710752).

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

1385824 is a wasteful number, since it uses less digits than its factorization.

1385824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 1385824 is about 1177.2102615931. The cubic root of 1385824 is about 111.4900284003.

It can be divided in two parts, 1385 and 824, that added together give a square (2209 = 47²).

The spelling of 1385824 in words is "one million, three hundred eighty-five thousand, eight hundred twenty-four".