61672900 has 18 divisors (see below), whose sum is σ = 133830410. Its totient is φ = 24669120.

The previous prime is 61672873. The next prime is 61672909. The reversal of 61672900 is 927616.

61672900 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 81796 + 61591104 = 286^2 + 7848^2 .

It is not an unprimeable number, because it can be changed into a prime (61672909) 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, 308265 + ... + 308464.

Almost surely, 2^61672900 is an apocalyptic number.

It is an amenable number.

61672900 is an abundant number, since it is smaller than the sum of its proper divisors (72157510).

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

61672900 is a wasteful number, since it uses less digits than its factorization.

61672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616743 (or 616736 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 61672900 is about 7853.2095349608. The cubic root of 61672900 is about 395.0918976482.

The spelling of 61672900 in words is "sixty-one million, six hundred seventy-two thousand, nine hundred".