613676000 has 288 divisors, whose sum is σ = 1828479744. Its totient is φ = 201600000.

The previous prime is 613675991. The next prime is 613676017. The reversal of 613676000 is 676316.

It is a happy number.

613676000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6075950 + ... + 6076050.

It is an arithmetic number, because the mean of its divisors is an integer number (6348888).

Almost surely, 2^613676000 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 613676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914239872).

613676000 is an abundant number, since it is smaller than the sum of its proper divisors (1214803744).

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

613676000 is a wasteful number, since it uses less digits than its factorization.

613676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 613676000 is about 24772.4847360938. The cubic root of 613676000 is about 849.7927983995.

The spelling of 613676000 in words is "six hundred thirteen million, six hundred seventy-six thousand".