70964000 has 96 divisors (see below), whose sum is σ = 177021936. Its totient is φ = 27955200.

The previous prime is 70963999. The next prime is 70964009. The reversal of 70964000 is 46907.

It can be written as a sum of positive squares in 8 ways, for example, as 4443664 + 66520336 = 2108^2 + 8156^2 .

It is not an unprimeable number, because it can be changed into a prime (70964009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451922 + ... + 452078.

Almost surely, 2^70964000 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 70964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88510968).

70964000 is an abundant number, since it is smaller than the sum of its proper divisors (106057936).

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

70964000 is a wasteful number, since it uses less digits than its factorization.

70964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 70964000 is about 8424.0132953361. The cubic root of 70964000 is about 414.0117774583.

The spelling of 70964000 in words is "seventy million, nine hundred sixty-four thousand".