61338800 has 60 divisors (see below), whose sum is σ = 149108760. Its totient is φ = 24245760.

The previous prime is 61338793. The next prime is 61338803. The reversal of 61338800 is 883316.

It is not an unprimeable number, because it can be changed into a prime (61338803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34739 + ... + 36461.

It is an arithmetic number, because the mean of its divisors is an integer number (2485146).

Almost surely, 2^61338800 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 61338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74554380).

61338800 is an abundant number, since it is smaller than the sum of its proper divisors (87769960).

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

61338800 is a wasteful number, since it uses less digits than its factorization.

61338800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 61338800 is about 7831.9090903815. The cubic root of 61338800 is about 394.3771629532.

The spelling of 61338800 in words is "sixty-one million, three hundred thirty-eight thousand, eight hundred".