61606800 has 180 divisors, whose sum is σ = 217128340. Its totient is φ = 16174080.

The previous prime is 61606777. The next prime is 61606819. The reversal of 61606800 is 860616.

It is a Cunningham number, because it is equal to 7849²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 60279696 = 1152^2 + 7764^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 392322 + ... + 392478.

Almost surely, 2^61606800 is an apocalyptic number.

61606800 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 61606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564170).

61606800 is an abundant number, since it is smaller than the sum of its proper divisors (155521540).

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

61606800 is a wasteful number, since it uses less digits than its factorization.

61606800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61606800 is about 7848.9999362976. Note that the first 4 decimals coincide. The cubic root of 61606800 is about 394.9506961909.

The spelling of 61606800 in words is "sixty-one million, six hundred six thousand, eight hundred".