61553600 has 168 divisors, whose sum is σ = 167810688. Its totient is φ = 22118400.

The previous prime is 61553599. The next prime is 61553623. The reversal of 61553600 is 635516.

It is a self number, because there is not a number n which added to its sum of digits gives 61553600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843164 + ... + 843236.

Almost surely, 2^61553600 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 61553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83905344).

61553600 is an abundant number, since it is smaller than the sum of its proper divisors (106257088).

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

61553600 is a wasteful number, since it uses less digits than its factorization.

61553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 61553600 is about 7845.6102375787. The cubic root of 61553600 is about 394.8369780732.

The spelling of 61553600 in words is "sixty-one million, five hundred fifty-three thousand, six hundred".