It is a tau number, because it is divible by the number of its divisors (540).
It is a congruent number.
It is an unprimeable number.
Almost surely, 261689600 is an apocalyptic number.
61689600 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 61689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138006792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61689600 is a wasteful number, since it uses less digits than its factorization.
61689600 is an evil number, because the sum of its binary digits is even.
The square root of 61689600 is about 7854.2727225377. The cubic root of 61689600 is about 395.1275558775.
The spelling of 61689600 in words is "sixty-one million, six hundred eighty-nine thousand, six hundred".