70248960 has 120 divisors (see below), whose sum is σ = 243371700. Its totient is φ = 18726912.

The previous prime is 70248953. The next prime is 70248961. The reversal of 70248960 is 6984207.

It can be written as a sum of positive squares in 2 ways, for example, as 64256256 + 5992704 = 8016^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (70248961) 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 11 ways as a sum of consecutive naturals, for example, 21516 + ... + 24564.

Almost surely, 2^70248960 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 70248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121685850).

70248960 is an abundant number, since it is smaller than the sum of its proper divisors (173122740).

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

70248960 is a wasteful number, since it uses less digits than its factorization.

70248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 70248960 is about 8381.4652656919. The cubic root of 70248960 is about 412.6165400746.

The spelling of 70248960 in words is "seventy million, two hundred forty-eight thousand, nine hundred sixty".