53743824 has 120 divisors (see below), whose sum is σ = 163031232. Its totient is φ = 17107200.

The previous prime is 53743777. The next prime is 53743829. The reversal of 53743824 is 42834735.

It is a happy number.

53743824 is a `hidden beast` number, since 537 + 43 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53743829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89124 + ... + 89724.

Almost surely, 2^53743824 is an apocalyptic number.

53743824 is a gapful number since it is divisible by the number (54) 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 53743824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81515616).

53743824 is an abundant number, since it is smaller than the sum of its proper divisors (109287408).

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

53743824 is a wasteful number, since it uses less digits than its factorization.

53743824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 53743824 is about 7331.0179375036. The cubic root of 53743824 is about 377.3776607501.

The spelling of 53743824 in words is "fifty-three million, seven hundred forty-three thousand, eight hundred twenty-four".