53661600 has 216 divisors, whose sum is σ = 196510860. Its totient is φ = 13762560.

The previous prime is 53661593. The next prime is 53661607. The reversal of 53661600 is 616635.

53661600 is a `hidden beast` number, since 53 + 6 + 6 + 1 + 600 = 666.

53661600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53661593) and next prime (53661607).

It can be written as a sum of positive squares in 6 ways, for example, as 37307664 + 16353936 = 6108^2 + 4044^2 .

It is not an unprimeable number, because it can be changed into a prime (53661607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208672 + ... + 208928.

Almost surely, 2^53661600 is an apocalyptic number.

53661600 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 53661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98255430).

53661600 is an abundant number, since it is smaller than the sum of its proper divisors (142849260).

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

53661600 is a wasteful number, since it uses less digits than its factorization.

53661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53661600 is about 7325.4078384756. The cubic root of 53661600 is about 377.1851093945.

The spelling of 53661600 in words is "fifty-three million, six hundred sixty-one thousand, six hundred".