1006427214 has 128 divisors (see below), whose sum is σ = 2515968000. Its totient is φ = 296110080.

The previous prime is 1006427209. The next prime is 1006427239. The reversal of 1006427214 is 4127246001.

1006427214 is a `hidden beast` number, since 1 + 0 + 0 + 642 + 7 + 2 + 14 = 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 63 ways as a sum of consecutive naturals, for example, 2241262 + ... + 2241710.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2^1006427214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006427214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984000).

1006427214 is an abundant number, since it is smaller than the sum of its proper divisors (1509540786).

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

1006427214 is a wasteful number, since it uses less digits than its factorization.

1006427214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1006427214 is about 31724.2370121016. The cubic root of 1006427214 is about 1002.1378310880.

The spelling of 1006427214 in words is "one billion, six million, four hundred twenty-seven thousand, two hundred fourteen".