127642240 has 64 divisors (see below), whose sum is σ = 332903520. Its totient is φ = 46412800.

The previous prime is 127642237. The next prime is 127642259. The reversal of 127642240 is 42246721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 127642199 and 127642208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2026 + ... + 16105.

Almost surely, 2^127642240 is an apocalyptic number.

127642240 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 127642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166451760).

127642240 is an abundant number, since it is smaller than the sum of its proper divisors (205261280).

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

127642240 is a wasteful number, since it uses less digits than its factorization.

127642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18161 (or 18149 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 127642240 is about 11297.8865280193. The cubic root of 127642240 is about 503.4984512535.

Adding to 127642240 its reverse (42246721), we get a palindrome (169888961).

The spelling of 127642240 in words is "one hundred twenty-seven million, six hundred forty-two thousand, two hundred forty".