61098500 has 48 divisors (see below), whose sum is σ = 135036720. Its totient is φ = 24147200.

The previous prime is 61098481. The next prime is 61098517. The reversal of 61098500 is 589016.

It can be written as a sum of positive squares in 8 ways, for example, as 10745284 + 50353216 = 3278^2 + 7096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43814 + ... + 45186.

It is an arithmetic number, because the mean of its divisors is an integer number (2813265).

Almost surely, 2^61098500 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 61098500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67518360).

61098500 is an abundant number, since it is smaller than the sum of its proper divisors (73938220).

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

61098500 is a wasteful number, since it uses less digits than its factorization.

61098500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 61098500 is about 7816.5529487108. The cubic root of 61098500 is about 393.8614868650.

The spelling of 61098500 in words is "sixty-one million, ninety-eight thousand, five hundred".