61885600 has 144 divisors (see below), whose sum is σ = 177363648. Its totient is φ = 20643840.

The previous prime is 61885589. The next prime is 61885601. The reversal of 61885600 is 658816.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61885601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240672 + ... + 240928.

It is an arithmetic number, because the mean of its divisors is an integer number (1231692).

Almost surely, 2^61885600 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 61885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88681824).

61885600 is an abundant number, since it is smaller than the sum of its proper divisors (115478048).

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

61885600 is a wasteful number, since it uses less digits than its factorization.

61885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 61885600 is about 7866.7401126515. The cubic root of 61885600 is about 395.5455794779.

The spelling of 61885600 in words is "sixty-one million, eight hundred eighty-five thousand, six hundred".