613632000 has 384 divisors, whose sum is σ = 2207761920. Its totient is φ = 150732800.

The previous prime is 613631971. The next prime is 613632007. The reversal of 613632000 is 236316.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613632007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13055977 + ... + 13056023.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2^613632000 is an apocalyptic number.

613632000 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 613632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960).

613632000 is an abundant number, since it is smaller than the sum of its proper divisors (1594129920).

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

613632000 is a wasteful number, since it uses less digits than its factorization.

613632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 613632000 is about 24771.5966380853. The cubic root of 613632000 is about 849.7724881290.

Adding to 613632000 its reverse (236316), we get a palindrome (613868316).

The spelling of 613632000 in words is "six hundred thirteen million, six hundred thirty-two thousand".