70966080 has 168 divisors, whose sum is σ = 250463304. Its totient is φ = 18432000.

The previous prime is 70966013. The next prime is 70966087. The reversal of 70966080 is 8066907.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 67371264 = 1896^2 + 8208^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70966087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117780 + ... + 118380.

It is an arithmetic number, because the mean of its divisors is an integer number (1490853).

Almost surely, 2^70966080 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 70966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125231652).

70966080 is an abundant number, since it is smaller than the sum of its proper divisors (179497224).

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

70966080 is a wasteful number, since it uses less digits than its factorization.

70966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 70966080 is about 8424.1367510268. The cubic root of 70966080 is about 414.0158224017.

The spelling of 70966080 in words is "seventy million, nine hundred sixty-six thousand, eighty".