701616000 has 256 divisors, whose sum is σ = 2382981120. Its totient is φ = 182528000.

The previous prime is 701615977. The next prime is 701616001. The reversal of 701616000 is 616107.

It is a super-2 number, since 2×701616000² = 984530022912000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701616001) 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, 2255845 + ... + 2256155.

It is an arithmetic number, because the mean of its divisors is an integer number (9308520).

Almost surely, 2^701616000 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 701616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191490560).

701616000 is an abundant number, since it is smaller than the sum of its proper divisors (1681365120).

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

701616000 is a wasteful number, since it uses less digits than its factorization.

701616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 701616000 is about 26488.0350347095. The cubic root of 701616000 is about 888.5867398985.

The spelling of 701616000 in words is "seven hundred one million, six hundred sixteen thousand".