613032000 has 448 divisors, whose sum is σ = 2396459520. Its totient is φ = 135168000.

The previous prime is 613031999. The next prime is 613032031. The reversal of 613032000 is 230316.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6887956 + ... + 6888044.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^613032000 is an apocalyptic number.

613032000 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 613032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198229760).

613032000 is an abundant number, since it is smaller than the sum of its proper divisors (1783427520).

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

613032000 is a wasteful number, since it uses less digits than its factorization.

613032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 613032000 is about 24759.4830317598. The cubic root of 613032000 is about 849.4954329547.

Adding to 613032000 its reverse (230316), we get a palindrome (613262316).

The spelling of 613032000 in words is "six hundred thirteen million, thirty-two thousand".