53682048 has 192 divisors, whose sum is σ = 184885200. Its totient is φ = 15289344.

The previous prime is 53682043. The next prime is 53682059. The reversal of 53682048 is 84028635.

53682048 is a `hidden beast` number, since 536 + 82 + 0 + 48 = 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 zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53682043) 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, 169186 + ... + 169502.

Almost surely, 2^53682048 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 53682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92442600).

53682048 is an abundant number, since it is smaller than the sum of its proper divisors (131203152).

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

53682048 is a wasteful number, since it uses less digits than its factorization.

53682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 329 counting only the distinct ones).

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

The square root of 53682048 is about 7326.8033957518. The cubic root of 53682048 is about 377.2330126852.

The spelling of 53682048 in words is "fifty-three million, six hundred eighty-two thousand, forty-eight".