53846208 has 280 divisors, whose sum is σ = 185879232. Its totient is φ = 15261696.

The previous prime is 53846203. The next prime is 53846213. The reversal of 53846208 is 80264835.

It is an interprime number because it is at equal distance from previous prime (53846203) and next prime (53846213).

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

It is not an unprimeable number, because it can be changed into a prime (53846201) 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, 1145641 + ... + 1145687.

Almost surely, 2^53846208 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 53846208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92939616).

53846208 is an abundant number, since it is smaller than the sum of its proper divisors (132033024).

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

53846208 is a wasteful number, since it uses less digits than its factorization.

53846208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53846208 is about 7337.9975470151. The cubic root of 53846208 is about 377.6171482684.

Adding to 53846208 its sum of digits (36), we get a square (53846244 = 7338²).

The spelling of 53846208 in words is "fifty-three million, eight hundred forty-six thousand, two hundred eight".