61288900 has 18 divisors (see below), whose sum is σ = 132997130. Its totient is φ = 24515520.

The previous prime is 61288897. The next prime is 61288901. The reversal of 61288900 is 988216.

61288900 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 3 ways, for example, as 17172736 + 44116164 = 4144^2 + 6642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61288901) 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 5 ways as a sum of consecutive naturals, for example, 306345 + ... + 306544.

Almost surely, 2^61288900 is an apocalyptic number.

It is an amenable number.

61288900 is an abundant number, since it is smaller than the sum of its proper divisors (71708230).

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

61288900 is a wasteful number, since it uses less digits than its factorization.

61288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612903 (or 612896 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 61288900 is about 7828.7227566187. The cubic root of 61288900 is about 394.2701901000.

The spelling of 61288900 in words is "sixty-one million, two hundred eighty-eight thousand, nine hundred".