126093006 has 96 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 36189504.

The previous prime is 126092977. The next prime is 126093007. The reversal of 126093006 is 600390621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126093007) 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, 351055 + ... + 351413.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^126093006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126093006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

126093006 is an abundant number, since it is smaller than the sum of its proper divisors (188402994).

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

126093006 is a wasteful number, since it uses less digits than its factorization.

126093006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 126093006 is about 11229.1142126171. The cubic root of 126093006 is about 501.4531141607.

The spelling of 126093006 in words is "one hundred twenty-six million, ninety-three thousand, six".