713685600 has 576 divisors, whose sum is σ = 2849817600. Its totient is φ = 171694080.

The previous prime is 713685589. The next prime is 713685611. The reversal of 713685600 is 6586317.

It is an interprime number because it is at equal distance from previous prime (713685589) and next prime (713685611).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15184777 + ... + 15184823.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^713685600 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 713685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424908800).

713685600 is an abundant number, since it is smaller than the sum of its proper divisors (2136132000).

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

713685600 is a wasteful number, since it uses less digits than its factorization.

713685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 713685600 is about 26714.8947218588. The cubic root of 713685600 is about 893.6531242904.

The spelling of 713685600 in words is "seven hundred thirteen million, six hundred eighty-five thousand, six hundred".