1007068356 has 192 divisors, whose sum is σ = 3118940160. Its totient is φ = 274959360.

The previous prime is 1007068339. The next prime is 1007068367. The reversal of 1007068356 is 6538607001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1007068356.

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, 2273071 + ... + 2273513.

It is an arithmetic number, because the mean of its divisors is an integer number (16244480).

Almost surely, 2^1007068356 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 1007068356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559470080).

1007068356 is an abundant number, since it is smaller than the sum of its proper divisors (2111871804).

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

1007068356 is a wasteful number, since it uses less digits than its factorization.

1007068356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1007068356 is about 31734.3403271598. The cubic root of 1007068356 is about 1002.3505890685.

The spelling of 1007068356 in words is "one billion, seven million, sixty-eight thousand, three hundred fifty-six".