70957120 has 112 divisors (see below), whose sum is σ = 187287408. Its totient is φ = 25436160.

The previous prime is 70957111. The next prime is 70957127. The reversal of 70957120 is 2175907.

It can be written as a sum of positive squares in 8 ways, for example, as 1201216 + 69755904 = 1096^2 + 8352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70957127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153690 + ... + 154150.

It is an arithmetic number, because the mean of its divisors is an integer number (1672209).

Almost surely, 2^70957120 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 70957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93643704).

70957120 is an abundant number, since it is smaller than the sum of its proper divisors (116330288).

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

70957120 is a wasteful number, since it uses less digits than its factorization.

70957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 70957120 is about 8423.6049290075. The cubic root of 70957120 is about 413.9983974671.

The spelling of 70957120 in words is "seventy million, nine hundred fifty-seven thousand, one hundred twenty".