52635744 has 144 divisors (see below), whose sum is σ = 177585408. Its totient is φ = 15023232.

The previous prime is 52635733. The next prime is 52635749. The reversal of 52635744 is 44753625.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 52635699 and 52635708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52635749) 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, 53949 + ... + 54915.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232).

Almost surely, 2^52635744 is an apocalyptic number.

52635744 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 52635744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88792704).

52635744 is an abundant number, since it is smaller than the sum of its proper divisors (124949664).

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

52635744 is an equidigital number, since it uses as much as digits as its factorization.

52635744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 979 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 52635744 is about 7255.0495518639. The cubic root of 52635744 is about 374.7660620918.

The spelling of 52635744 in words is "fifty-two million, six hundred thirty-five thousand, seven hundred forty-four".