53629938 has 80 divisors (see below), whose sum is σ = 126846720. Its totient is φ = 16912800.

The previous prime is 53629931. The next prime is 53629943. The reversal of 53629938 is 83992635.

53629938 is a `hidden beast` number, since 536 + 29 + 93 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53629893 and 53629902.

It is not an unprimeable number, because it can be changed into a prime (53629931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 296208 + ... + 296388.

It is an arithmetic number, because the mean of its divisors is an integer number (1585584).

Almost surely, 2^53629938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53629938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63423360).

53629938 is an abundant number, since it is smaller than the sum of its proper divisors (73216782).

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

53629938 is a wasteful number, since it uses less digits than its factorization.

53629938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 53629938 is about 7323.2464112578. The cubic root of 53629938 is about 377.1109111813.

The spelling of 53629938 in words is "fifty-three million, six hundred twenty-nine thousand, nine hundred thirty-eight".