126273006 has 36 divisors (see below), whose sum is σ = 284129352. Its totient is φ = 42086628.

The previous prime is 126272969. The next prime is 126273011. The reversal of 126273006 is 600372621.

It is a happy number.

126273006 is a `hidden beast` number, since 1 + 2 + 627 + 30 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8311 + ... + 17933.

It is an arithmetic number, because the mean of its divisors is an integer number (7892482).

Almost surely, 2^126273006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126273006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142064676).

126273006 is an abundant number, since it is smaller than the sum of its proper divisors (157856346).

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

126273006 is an frugal number, since it uses more digits than its factorization.

126273006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9649 (or 9628 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 126273006 is about 11237.1262340511. The cubic root of 126273006 is about 501.6916117783.

The spelling of 126273006 in words is "one hundred twenty-six million, two hundred seventy-three thousand, six".