127284640 has 48 divisors (see below), whose sum is σ = 343671552. Its totient is φ = 43640064.

The previous prime is 127284631. The next prime is 127284649. The reversal of 127284640 is 46482721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (127284631) and next prime (127284649).

It is a junction number, because it is equal to n+sod(n) for n = 127284596 and 127284605.

It is not an unprimeable number, because it can be changed into a prime (127284649) by changing a digit.

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, 55704 + ... + 57943.

It is an arithmetic number, because the mean of its divisors is an integer number (7159824).

Almost surely, 2^127284640 is an apocalyptic number.

127284640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127284640 is an abundant number, since it is smaller than the sum of its proper divisors (216386912).

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

127284640 is a wasteful number, since it uses less digits than its factorization.

127284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113669 (or 113661 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 127284640 is about 11282.0494592073. The cubic root of 127284640 is about 503.0278143367.

The spelling of 127284640 in words is "one hundred twenty-seven million, two hundred eighty-four thousand, six hundred forty".