61228900 has 36 divisors (see below), whose sum is σ = 140686308. Its totient is φ = 23050240.

The previous prime is 61228879. The next prime is 61228903. The reversal of 61228900 is 982216.

It is a happy number.

61228900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13924 + 61214976 = 118^2 + 7824^2 .

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (61228903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16309 + ... + 19708.

It is an arithmetic number, because the mean of its divisors is an integer number (3907953).

Almost surely, 2^61228900 is an apocalyptic number.

It is an amenable number.

61228900 is an abundant number, since it is smaller than the sum of its proper divisors (79457408).

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

61228900 is a wasteful number, since it uses less digits than its factorization.

61228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36048 (or 36041 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 61228900 is about 7824.8897755815. The cubic root of 61228900 is about 394.1414885179.

It can be divided in two parts, 61228 and 900, that added together give a triangular number (62128 = T₃₅₂).

The spelling of 61228900 in words is "sixty-one million, two hundred twenty-eight thousand, nine hundred".