1006027344 has 160 divisors (see below), whose sum is σ = 3362999040. Its totient is φ = 281968128.

The previous prime is 1006027331. The next prime is 1006027357. The reversal of 1006027344 is 4437206001.

1006027344 is a `hidden beast` number, since 10 + 0 + 602 + 7 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1006027331) and next prime (1006027357).

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 31 ways as a sum of consecutive naturals, for example, 157134 + ... + 163410.

It is an arithmetic number, because the mean of its divisors is an integer number (21018744).

Almost surely, 2^1006027344 is an apocalyptic number.

1006027344 is a gapful number since it is divisible by the number (14) 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 1006027344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681499520).

1006027344 is an abundant number, since it is smaller than the sum of its proper divisors (2356971696).

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

1006027344 is a wasteful number, since it uses less digits than its factorization.

1006027344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1006027344 is about 31717.9341067479. The cubic root of 1006027344 is about 1002.0050915873.

The spelling of 1006027344 in words is "one billion, six million, twenty-seven thousand, three hundred forty-four".