61098600 has 96 divisors (see below), whose sum is σ = 191952000. Its totient is φ = 16074240.

The previous prime is 61098593. The next prime is 61098601. The reversal of 61098600 is 689016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61098601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46756 + ... + 48044.

It is an arithmetic number, because the mean of its divisors is an integer number (1999500).

Almost surely, 2^61098600 is an apocalyptic number.

61098600 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 61098600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95976000).

61098600 is an abundant number, since it is smaller than the sum of its proper divisors (130853400).

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

61098600 is a wasteful number, since it uses less digits than its factorization.

61098600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 61098600 is about 7816.5593453898. The cubic root of 61098600 is about 393.8617017428.

The spelling of 61098600 in words is "sixty-one million, ninety-eight thousand, six hundred".