70668800 has 60 divisors (see below), whose sum is σ = 175119186. Its totient is φ = 28262400.

The previous prime is 70668797. The next prime is 70668817. The reversal of 70668800 is 886607.

It can be written as a sum of positive squares in 3 ways, for example, as 44943616 + 25725184 = 6704^2 + 5072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10040 + ... + 15560.

Almost surely, 2^70668800 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 70668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87559593).

70668800 is an abundant number, since it is smaller than the sum of its proper divisors (104450386).

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

70668800 is an equidigital number, since it uses as much as digits as its factorization.

70668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 70668800 is about 8406.4736959084. The cubic root of 70668800 is about 413.4369031709.

The spelling of 70668800 in words is "seventy million, six hundred sixty-eight thousand, eight hundred".