53321680 has 40 divisors (see below), whose sum is σ = 125382600. Its totient is φ = 21086208.

The previous prime is 53321563. The next prime is 53321711. The reversal of 53321680 is 8612335.

It can be written as a sum of positive squares in 4 ways, for example, as 1308736 + 52012944 = 1144^2 + 7212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3376 + ... + 10864.

It is an arithmetic number, because the mean of its divisors is an integer number (3134565).

Almost surely, 2^53321680 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 53321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62691300).

53321680 is an abundant number, since it is smaller than the sum of its proper divisors (72060920).

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

53321680 is a wasteful number, since it uses less digits than its factorization.

53321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 53321680 is about 7302.1695406228. The cubic root of 53321680 is about 376.3869940391.

The spelling of 53321680 in words is "fifty-three million, three hundred twenty-one thousand, six hundred eighty".