53688400 has 60 divisors (see below), whose sum is σ = 130696000. Its totient is φ = 21191040.

The previous prime is 53688391. The next prime is 53688413. The reversal of 53688400 is 488635.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30751 + ... + 32449.

Almost surely, 2^53688400 is an apocalyptic number.

53688400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65348000).

53688400 is an abundant number, since it is smaller than the sum of its proper divisors (77007600).

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

53688400 is a wasteful number, since it uses less digits than its factorization.

53688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 53688400 is about 7327.2368598265. The cubic root of 53688400 is about 377.2478909650.

The spelling of 53688400 in words is "fifty-three million, six hundred eighty-eight thousand, four hundred".