61889200 has 30 divisors (see below), whose sum is σ = 148689764. Its totient is φ = 24755520.

The previous prime is 61889189. The next prime is 61889207. The reversal of 61889200 is 298816.

It is not an unprimeable number, because it can be changed into a prime (61889207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76962 + ... + 77761.

Almost surely, 2^61889200 is an apocalyptic number.

It is an amenable number.

61889200 is an abundant number, since it is smaller than the sum of its proper divisors (86800564).

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

61889200 is a wasteful number, since it uses less digits than its factorization.

61889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154741 (or 154730 counting only the distinct ones).

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

The square root of 61889200 is about 7866.9689207470. The cubic root of 61889200 is about 395.5532492022.

It can be divided in two parts, 61889 and 200, that multiplied together give a triangular number (12377800 = T₄₉₇₅).

The spelling of 61889200 in words is "sixty-one million, eight hundred eighty-nine thousand, two hundred".