127626642 has 96 divisors (see below), whose sum is σ = 327862080. Its totient is φ = 35372160.

The previous prime is 127626641. The next prime is 127626643. The reversal of 127626642 is 246626721.

127626642 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 2 + 6 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (127626641) and next prime (127626643).

It is a junction number, because it is equal to n+sod(n) for n = 127626597 and 127626606.

It is not an unprimeable number, because it can be changed into a prime (127626641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460608 + ... + 460884.

It is an arithmetic number, because the mean of its divisors is an integer number (3415230).

Almost surely, 2^127626642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127626642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163931040).

127626642 is an abundant number, since it is smaller than the sum of its proper divisors (200235438).

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

127626642 is a wasteful number, since it uses less digits than its factorization.

127626642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 127626642 is about 11297.1962008279. The cubic root of 127626642 is about 503.4779410923.

The spelling of 127626642 in words is "one hundred twenty-seven million, six hundred twenty-six thousand, six hundred forty-two".