53609600 has 96 divisors (see below), whose sum is σ = 144566640. Its totient is φ = 19481600.

The previous prime is 53609597. The next prime is 53609651. The reversal of 53609600 is 690635.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34439 + ... + 35961.

Almost surely, 2^53609600 is an apocalyptic number.

53609600 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 53609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72283320).

53609600 is an abundant number, since it is smaller than the sum of its proper divisors (90957040).

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

53609600 is a wasteful number, since it uses less digits than its factorization.

53609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 53609600 is about 7321.8576877730. The cubic root of 53609600 is about 377.0632347546.

The spelling of 53609600 in words is "fifty-three million, six hundred nine thousand, six hundred".