61796200 has 48 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 24600000.

The previous prime is 61796183. The next prime is 61796201. The reversal of 61796200 is 269716.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61796201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49585 + ... + 50815.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 2^61796200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61796200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

61796200 is an abundant number, since it is smaller than the sum of its proper divisors (82569560).

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

61796200 is a wasteful number, since it uses less digits than its factorization.

61796200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1489 counting only the distinct ones).

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

The square root of 61796200 is about 7861.0559087186. The cubic root of 61796200 is about 395.3550191732.

The spelling of 61796200 in words is "sixty-one million, seven hundred ninety-six thousand, two hundred".