53761280 has 72 divisors (see below), whose sum is σ = 130403112. Its totient is φ = 21233664.

The previous prime is 53761277. The next prime is 53761289. The reversal of 53761280 is 8216735.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 53465344 = 544^2 + 7312^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53761289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123944 + ... + 124376.

Almost surely, 2^53761280 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 53761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65201556).

53761280 is an abundant number, since it is smaller than the sum of its proper divisors (76641832).

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

53761280 is an equidigital number, since it uses as much as digits as its factorization.

53761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

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

The square root of 53761280 is about 7332.2083985659. The cubic root of 53761280 is about 377.4185137628.

The spelling of 53761280 in words is "fifty-three million, seven hundred sixty-one thousand, two hundred eighty".