61684800 has 168 divisors, whose sum is σ = 206361792. Its totient is φ = 16128000.

The previous prime is 61684757. The next prime is 61684801. The reversal of 61684800 is 848616.

It is not an unprimeable number, because it can be changed into a prime (61684801) 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, 340710 + ... + 340890.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2^61684800 is an apocalyptic number.

61684800 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 61684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896).

61684800 is an abundant number, since it is smaller than the sum of its proper divisors (144676992).

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

61684800 is a wasteful number, since it uses less digits than its factorization.

61684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 61684800 is about 7853.9671504279. The cubic root of 61684800 is about 395.1173074647.

The spelling of 61684800 in words is "sixty-one million, six hundred eighty-four thousand, eight hundred".