613342000 has 80 divisors (see below), whose sum is σ = 1495020384. Its totient is φ = 243360000.

The previous prime is 613341959. The next prime is 613342003. The reversal of 613342000 is 243316.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (613342003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260830 + ... + 263170.

Almost surely, 2^613342000 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 613342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747510192).

613342000 is an abundant number, since it is smaller than the sum of its proper divisors (881678384).

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

613342000 is a wasteful number, since it uses less digits than its factorization.

613342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 613342000 is about 24765.7424681757. The cubic root of 613342000 is about 849.6386006888.

Adding to 613342000 its reverse (243316), we get a palindrome (613585316).

The spelling of 613342000 in words is "six hundred thirteen million, three hundred forty-two thousand".