53534880 has 288 divisors, whose sum is σ = 215115264. Its totient is φ = 11870208.

The previous prime is 53534879. The next prime is 53534939. The reversal of 53534880 is 8843535.

53534880 is a `hidden beast` number, since 535 + 3 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×53534880² = 5731966753228800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473704 + ... + 473816.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 2^53534880 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 53534880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

53534880 is an abundant number, since it is smaller than the sum of its proper divisors (161580384).

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

53534880 is a wasteful number, since it uses less digits than its factorization.

53534880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 53534880 is about 7316.7533783776. The cubic root of 53534880 is about 376.8879722109.

The spelling of 53534880 in words is "fifty-three million, five hundred thirty-four thousand, eight hundred eighty".