61900200 has 120 divisors (see below), whose sum is σ = 215044830. Its totient is φ = 16502400.

The previous prime is 61900187. The next prime is 61900207. The reversal of 61900200 is 200916.

It can be written as a sum of positive squares in 3 ways, for example, as 56340036 + 5560164 = 7506^2 + 2358^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (61900207) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 14290 + ... + 18110.

Almost surely, 2^61900200 is an apocalyptic number.

61900200 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 61900200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107522415).

61900200 is an abundant number, since it is smaller than the sum of its proper divisors (153144630).

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

61900200 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (61900199) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (3849).

61900200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 61900200 is about 7867.6680153652. The cubic root of 61900200 is about 395.5766826283.

The spelling of 61900200 in words is "sixty-one million, nine hundred thousand, two hundred".