127664820 has 144 divisors (see below), whose sum is σ = 405070848. Its totient is φ = 32509440.

The previous prime is 127664813. The next prime is 127664821. The reversal of 127664820 is 28466721.

127664820 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 648 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127664821) 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, 764377 + ... + 764543.

It is an arithmetic number, because the mean of its divisors is an integer number (2812992).

Almost surely, 2^127664820 is an apocalyptic number.

127664820 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 127664820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202535424).

127664820 is an abundant number, since it is smaller than the sum of its proper divisors (277406028).

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

127664820 is a wasteful number, since it uses less digits than its factorization.

127664820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 127664820 is about 11298.8857857755. The cubic root of 127664820 is about 503.5281392437.

The spelling of 127664820 in words is "one hundred twenty-seven million, six hundred sixty-four thousand, eight hundred twenty".