61485300 has 108 divisors (see below), whose sum is σ = 196510860. Its totient is φ = 16074240.

The previous prime is 61485289. The next prime is 61485301. The reversal of 61485300 is 358416.

61485300 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 1205604 + 60279696 = 1098^2 + 7764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61485301) 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 35 ways as a sum of consecutive naturals, for example, 47056 + ... + 48344.

It is an arithmetic number, because the mean of its divisors is an integer number (1819545).

Almost surely, 2^61485300 is an apocalyptic number.

61485300 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 61485300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98255430).

61485300 is an abundant number, since it is smaller than the sum of its proper divisors (135025560).

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

61485300 is a wasteful number, since it uses less digits than its factorization.

61485300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61485300 is about 7841.2562768985. The cubic root of 61485300 is about 394.6908867202.

The spelling of 61485300 in words is "sixty-one million, four hundred eighty-five thousand, three hundred".