9970128 has 150 divisors (see below), whose sum is σ = 33781506. Its totient is φ = 2830464.

The previous prime is 9970123. The next prime is 9970139. The reversal of 9970128 is 8210799.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7683984 + 2286144 = 2772^2 + 1512^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9970092 and 9970101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970123) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63426 + ... + 63582.

Almost surely, 2^9970128 is an apocalyptic number.

9970128 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9970128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890753).

9970128 is an abundant number, since it is smaller than the sum of its proper divisors (23811378).

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

9970128 is a wasteful number, since it uses less digits than its factorization.

9970128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 9970128 is about 3157.5509497077. The cubic root of 9970128 is about 215.2287307955.

The spelling of 9970128 in words is "nine million, nine hundred seventy thousand, one hundred twenty-eight".