39970128 has 160 divisors (see below), whose sum is σ = 122884992. Its totient is φ = 11059200.

The previous prime is 39970103. The next prime is 39970141. The reversal of 39970128 is 82107993.

It is a super-2 number, since 2×39970128² = 3195222264672768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 547500 + ... + 547572.

Almost surely, 2^39970128 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 39970128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61442496).

39970128 is an abundant number, since it is smaller than the sum of its proper divisors (82914864).

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

39970128 is a wasteful number, since it uses less digits than its factorization.

39970128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 39970128 is about 6322.1932903068. The cubic root of 39970128 is about 341.9100341314.

The spelling of 39970128 in words is "thirty-nine million, nine hundred seventy thousand, one hundred twenty-eight".