61998600 has 96 divisors (see below), whose sum is σ = 193559040. Its totient is φ = 16416000.

The previous prime is 61998589. The next prime is 61998611. The reversal of 61998600 is 689916.

It is an interprime number because it is at equal distance from previous prime (61998589) and next prime (61998611).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114330 + ... + 114870.

It is an arithmetic number, because the mean of its divisors is an integer number (2016240).

Almost surely, 2^61998600 is an apocalyptic number.

61998600 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 61998600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96779520).

61998600 is an abundant number, since it is smaller than the sum of its proper divisors (131560440).

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

61998600 is a wasteful number, since it uses less digits than its factorization.

61998600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 61998600 is about 7873.9189734210. The cubic root of 61998600 is about 395.7861818874.

The spelling of 61998600 in words is "sixty-one million, nine hundred ninety-eight thousand, six hundred".