70968960 has 240 divisors, whose sum is σ = 260477910. Its totient is φ = 18413568.

The previous prime is 70968959. The next prime is 70968967. The reversal of 70968960 is 6986907.

It can be written as a sum of positive squares in 3 ways, for example, as 70963776 + 5184 = 8424^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (70968967) 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 29 ways as a sum of consecutive naturals, for example, 1918062 + ... + 1918098.

Almost surely, 2^70968960 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 70968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130238955).

70968960 is an abundant number, since it is smaller than the sum of its proper divisors (189508950).

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

70968960 is an equidigital number, since it uses as much as digits as its factorization.

70968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 70968960 is about 8424.3076866886. The cubic root of 70968960 is about 414.0214229620.

The spelling of 70968960 in words is "seventy million, nine hundred sixty-eight thousand, nine hundred sixty".