70107128 has 128 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 25698816.

The previous prime is 70107109. The next prime is 70107143. The reversal of 70107128 is 82170107.

It is a Cunningham number, because it is equal to 8373²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 70107097 and 70107106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887393 + ... + 887471.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^70107128 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 70107128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

70107128 is an abundant number, since it is smaller than the sum of its proper divisors (104075272).

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

70107128 is a wasteful number, since it uses less digits than its factorization.

70107128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 70107128 is about 8372.9999402842. Note that the first 4 decimals coincide. The cubic root of 70107128 is about 412.3386633220.

The spelling of 70107128 in words is "seventy million, one hundred seven thousand, one hundred twenty-eight".