70971264 has 192 divisors, whose sum is σ = 251727840. Its totient is φ = 18690048.

The previous prime is 70971253. The next prime is 70971319. The reversal of 70971264 is 46217907.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104494 + ... + 105170.

Almost surely, 2^70971264 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 70971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125863920).

70971264 is an abundant number, since it is smaller than the sum of its proper divisors (180756576).

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

70971264 is a wasteful number, since it uses less digits than its factorization.

70971264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 70971264 is about 8424.4444327208. Note that the first 4 decimals coincide. The cubic root of 70971264 is about 414.0259033012.

The spelling of 70971264 in words is "seventy million, nine hundred seventy-one thousand, two hundred sixty-four".