127006000 has 160 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 44000000.

The previous prime is 127005973. The next prime is 127006021. The reversal of 127006000 is 600721.

It is a super-2 number, since 2×127006000² = 32261048072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505875 + ... + 506125.

Almost surely, 2^127006000 is an apocalyptic number.

127006000 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 127006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

127006000 is an abundant number, since it is smaller than the sum of its proper divisors (223971536).

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

127006000 is a wasteful number, since it uses less digits than its factorization.

127006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 127006000 is about 11269.6938733934. The cubic root of 127006000 is about 502.6604851952.

Adding to 127006000 its reverse (600721), we get a palindrome (127606721).

The spelling of 127006000 in words is "one hundred twenty-seven million, six thousand".