153824 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 63360.

The previous prime is 153817. The next prime is 153841. The reversal of 153824 is 428351.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 153824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6677 + ... + 6699.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹⁵³⁸²⁴ 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 153824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

153824 is an abundant number, since it is smaller than the sum of its proper divisors (209056).

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

153824 is a wasteful number, since it uses less digits than its factorization.

153824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 153824 is about 392.2040285362. The cubic root of 153824 is about 53.5806568653.

The spelling of 153824 in words is "one hundred fifty-three thousand, eight hundred twenty-four".