53271680 has 256 divisors, whose sum is σ = 169205760. Its totient is φ = 15544320.

The previous prime is 53271643. The next prime is 53271683. The reversal of 53271680 is 8617235.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (53271683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133417 + ... + 1133463.

It is an arithmetic number, because the mean of its divisors is an integer number (660960).

Almost surely, 2^53271680 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 53271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602880).

53271680 is an abundant number, since it is smaller than the sum of its proper divisors (115934080).

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

53271680 is a wasteful number, since it uses less digits than its factorization.

53271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 53271680 is about 7298.7450976178. The cubic root of 53271680 is about 376.2693106059.

It can be divided in two parts, 5327 and 1680, that added together give a palindrome (7007).

The spelling of 53271680 in words is "fifty-three million, two hundred seventy-one thousand, six hundred eighty".