1006894368 has 144 divisors (see below), whose sum is σ = 3071406240. Its totient is φ = 320893056.

The previous prime is 1006894363. The next prime is 1006894393. The reversal of 1006894368 is 8634986001.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1006894363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455955 + ... + 458157.

It is an arithmetic number, because the mean of its divisors is an integer number (21329210).

Almost surely, 2^1006894368 is an apocalyptic number.

1006894368 is a gapful number since it is divisible by the number (18) 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 1006894368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535703120).

1006894368 is an abundant number, since it is smaller than the sum of its proper divisors (2064511872).

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

1006894368 is a wasteful number, since it uses less digits than its factorization.

1006894368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1006894368 is about 31731.5988881745. The cubic root of 1006894368 is about 1002.2928614351.

The spelling of 1006894368 in words is "one billion, six million, eight hundred ninety-four thousand, three hundred sixty-eight".