1006368 has 48 divisors (see below), whose sum is σ = 2884896. Its totient is φ = 304640.

The previous prime is 1006367. The next prime is 1006391. The reversal of 1006368 is 8636001.

1006368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1006361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (60102).

2^1006368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442448).

1006368 is an abundant number, since it is smaller than the sum of its proper divisors (1878528).

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

1006368 is a wasteful number, since it uses less digits than its factorization.

1006368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1006368 is about 1003.1789471475. The cubic root of 1006368 is about 100.2118176826.

The spelling of 1006368 in words is "one million, six thousand, three hundred sixty-eight".