53643744 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 13363200.

The previous prime is 53643731. The next prime is 53643757. The reversal of 53643744 is 44734635.

It is a happy number.

53643744 is a `hidden beast` number, since 5 + 3 + 643 + 7 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (53643731) and next prime (53643757).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 53643699 and 53643708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909187 + ... + 909245.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^53643744 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 53643744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

53643744 is an abundant number, since it is smaller than the sum of its proper divisors (144488736).

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

53643744 is a wasteful number, since it uses less digits than its factorization.

53643744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 53643744 is about 7324.1889653394. The cubic root of 53643744 is about 377.1432683978.

The spelling of 53643744 in words is "fifty-three million, six hundred forty-three thousand, seven hundred forty-four".