127640640 has 112 divisors (see below), whose sum is σ = 418429440. Its totient is φ = 32931840.

The previous prime is 127640627. The next prime is 127640677. The reversal of 127640640 is 46046721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 127640598 and 127640607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27616 + ... + 31904.

Almost surely, 2^127640640 is an apocalyptic number.

127640640 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 127640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209214720).

127640640 is an abundant number, since it is smaller than the sum of its proper divisors (290788800).

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

127640640 is a wasteful number, since it uses less digits than its factorization.

127640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 127640640 is about 11297.8157180935. The cubic root of 127640640 is about 503.4963474544.

The spelling of 127640640 in words is "one hundred twenty-seven million, six hundred forty thousand, six hundred forty".