127979264 has 72 divisors (see below), whose sum is σ = 309199968. Its totient is φ = 51609600.

The previous prime is 127979249. The next prime is 127979279. The reversal of 127979264 is 462979721.

It is an interprime number because it is at equal distance from previous prime (127979249) and next prime (127979279).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28364 + ... + 32564.

It is an arithmetic number, because the mean of its divisors is an integer number (4294444).

Almost surely, 2^127979264 is an apocalyptic number.

127979264 is a gapful number since it is divisible by the number (14) 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 127979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154599984).

127979264 is an abundant number, since it is smaller than the sum of its proper divisors (181220704).

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

127979264 is an equidigital number, since it uses as much as digits as its factorization.

127979264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4227 counting only the distinct ones).

The product of its digits is 381024, while the sum is 47.

The square root of 127979264 is about 11312.7920514787. The cubic root of 127979264 is about 503.9412041936.

The spelling of 127979264 in words is "one hundred twenty-seven million, nine hundred seventy-nine thousand, two hundred sixty-four".