61188900 has 72 divisors (see below), whose sum is σ = 180092640. Its totient is φ = 16035840.

The previous prime is 61188893. The next prime is 61188923. The reversal of 61188900 is 988116.

61188900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15972 + ... + 19428.

Almost surely, 2^61188900 is an apocalyptic number.

61188900 is a gapful number since it is divisible by the number (60) 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 61188900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

61188900 is an abundant number, since it is smaller than the sum of its proper divisors (118903740).

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

61188900 is a wasteful number, since it uses less digits than its factorization.

61188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 61188900 is about 7822.3334114572. Note that the first 3 decimals coincide. The cubic root of 61188900 is about 394.0556407459.

The spelling of 61188900 in words is "sixty-one million, one hundred eighty-eight thousand, nine hundred".