127666000 has 160 divisors (see below), whose sum is σ = 385332480. Its totient is φ = 39744000.

The previous prime is 127665991. The next prime is 127666003. The reversal of 127666000 is 666721.

127666000 = T₄₀ + T₄₁ + ... + T₉₁₄.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 127666000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127666003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153586 + ... + 154414.

It is an arithmetic number, because the mean of its divisors is an integer number (2408328).

Almost surely, 2^127666000 is an apocalyptic number.

127666000 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 127666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192666240).

127666000 is an abundant number, since it is smaller than the sum of its proper divisors (257666480).

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

127666000 is a wasteful number, since it uses less digits than its factorization.

127666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 127666000 is about 11298.9380031930. The cubic root of 127666000 is about 503.5296906013.

It can be divided in two parts, 1276 and 66000, that added together give a palindrome (67276).

The spelling of 127666000 in words is "one hundred twenty-seven million, six hundred sixty-six thousand".