127010640 has 80 divisors (see below), whose sum is σ = 404402688. Its totient is φ = 32951808.

The previous prime is 127010567. The next prime is 127010641. The reversal of 127010640 is 46010721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×127010640² = 32263405346419200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127010641) 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 15 ways as a sum of consecutive naturals, for example, 1729 + ... + 16031.

Almost surely, 2^127010640 is an apocalyptic number.

127010640 is a gapful number since it is divisible by the number (10) 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 127010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202201344).

127010640 is an abundant number, since it is smaller than the sum of its proper divisors (277392048).

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

127010640 is a wasteful number, since it uses less digits than its factorization.

127010640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14356 (or 14350 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 127010640 is about 11269.8997333605. The cubic root of 127010640 is about 502.6666064710. Note that the first 4 decimals are identical.

The spelling of 127010640 in words is "one hundred twenty-seven million, ten thousand, six hundred forty".