53580064 has 48 divisors (see below), whose sum is σ = 112698432. Its totient is φ = 25014528.

The previous prime is 53580061. The next prime is 53580067. The reversal of 53580064 is 46008535.

It is an interprime number because it is at equal distance from previous prime (53580061) and next prime (53580067).

It is not an unprimeable number, because it can be changed into a prime (53580061) 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, 30802 + ... + 32494.

It is an arithmetic number, because the mean of its divisors is an integer number (2347884).

Almost surely, 2^53580064 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 53580064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56349216).

53580064 is an abundant number, since it is smaller than the sum of its proper divisors (59118368).

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

53580064 is a wasteful number, since it uses less digits than its factorization.

53580064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 53580064 is about 7319.8404354193. The cubic root of 53580064 is about 376.9939748607.

Adding to 53580064 its reverse (46008535), we get a palindrome (99588599).

The spelling of 53580064 in words is "fifty-three million, five hundred eighty thousand, sixty-four".