61945200 has 90 divisors (see below), whose sum is σ = 214979544. Its totient is φ = 16517760.

The previous prime is 61945199. The next prime is 61945207. The reversal of 61945200 is 254916.

61945200 is a `hidden beast` number, since 619 + 45 + 2 + 0 + 0 = 666.

61945200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61945207) 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 17 ways as a sum of consecutive naturals, for example, 5004 + ... + 12203.

Almost surely, 2^61945200 is an apocalyptic number.

61945200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61945200 is an abundant number, since it is smaller than the sum of its proper divisors (153034344).

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

61945200 is a wasteful number, since it uses less digits than its factorization.

61945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17231 (or 17217 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61945200 is about 7870.5273012677. The cubic root of 61945200 is about 395.6725177459.

The spelling of 61945200 in words is "sixty-one million, nine hundred forty-five thousand, two hundred".