61984800 has 108 divisors (see below), whose sum is σ = 218599290. Its totient is φ = 16527360.

The previous prime is 61984787. The next prime is 61984807. The reversal of 61984800 is 848916.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 37896336 + 24088464 = 6156^2 + 4908^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61984807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2896 + ... + 11504.

Almost surely, 2^61984800 is an apocalyptic number.

61984800 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 61984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109299645).

61984800 is an abundant number, since it is smaller than the sum of its proper divisors (156614490).

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

61984800 is a wasteful number, since it uses less digits than its factorization.

61984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8635 (or 8619 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 61984800 is about 7873.0426138819. The cubic root of 61984800 is about 395.7568142640.

The spelling of 61984800 in words is "sixty-one million, nine hundred eighty-four thousand, eight hundred".