52637760 has 252 divisors, whose sum is σ = 211176108. Its totient is φ = 11999232.

The previous prime is 52637759. The next prime is 52637803. The reversal of 52637760 is 6773625.

It is a happy number.

52637760 is a `hidden beast` number, since 526 + 3 + 77 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 28901376 = 4872^2 + 5376^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140934 + ... + 141306.

Almost surely, 2^52637760 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 52637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105588054).

52637760 is an abundant number, since it is smaller than the sum of its proper divisors (158538348).

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

52637760 is a wasteful number, since it uses less digits than its factorization.

52637760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 52637760 is about 7255.1884882476. The cubic root of 52637760 is about 374.7708466652.

The spelling of 52637760 in words is "fifty-two million, six hundred thirty-seven thousand, seven hundred sixty".