52746624 has 192 divisors, whose sum is σ = 179911680. Its totient is φ = 14515200.

The previous prime is 52746619. The next prime is 52746647. The reversal of 52746624 is 42664725.

52746624 is a `hidden beast` number, since 5 + 27 + 4 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249879 + ... + 250089.

It is an arithmetic number, because the mean of its divisors is an integer number (937040).

Almost surely, 2^52746624 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 52746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89955840).

52746624 is an abundant number, since it is smaller than the sum of its proper divisors (127165056).

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

52746624 is a wasteful number, since it uses less digits than its factorization.

52746624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

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

The square root of 52746624 is about 7262.6871060235. The cubic root of 52746624 is about 375.0290324189.

The spelling of 52746624 in words is "fifty-two million, seven hundred forty-six thousand, six hundred twenty-four".