613098000 has 120 divisors (see below), whose sum is σ = 2141409816. Its totient is φ = 163488000.

The previous prime is 613097963. The next prime is 613098001. The reversal of 613098000 is 890316.

It can be written as a sum of positive squares in 4 ways, for example, as 196448256 + 416649744 = 14016^2 + 20412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (613098001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970 + ... + 35030.

Almost surely, 2^613098000 is an apocalyptic number.

613098000 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 613098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070704908).

613098000 is an abundant number, since it is smaller than the sum of its proper divisors (1528311816).

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

613098000 is a wasteful number, since it uses less digits than its factorization.

613098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34090 (or 34071 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 613098000 is about 24760.8158185469. The cubic root of 613098000 is about 849.5259178704.

The spelling of 613098000 in words is "six hundred thirteen million, ninety-eight thousand".