70664800 has 72 divisors (see below), whose sum is σ = 181629000. Its totient is φ = 26772480.

The previous prime is 70664773. The next prime is 70664837. The reversal of 70664800 is 846607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12876 + ... + 17524.

It is an arithmetic number, because the mean of its divisors is an integer number (2522625).

Almost surely, 2^70664800 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 70664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90814500).

70664800 is an abundant number, since it is smaller than the sum of its proper divisors (110964200).

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

70664800 is a wasteful number, since it uses less digits than its factorization.

70664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 70664800 is about 8406.2357806571. The cubic root of 70664800 is about 413.4291025629.

The spelling of 70664800 in words is "seventy million, six hundred sixty-four thousand, eight hundred".