1012864068 has 48 divisors (see below), whose sum is σ = 2628232320. Its totient is φ = 337327200.

The previous prime is 1012864067. The next prime is 1012864081. The reversal of 1012864068 is 8604682101.

1012864068 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 8 + 640 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1012864067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145753 + ... + 152543.

It is an arithmetic number, because the mean of its divisors is an integer number (54754840).

Almost surely, 2^1012864068 is an apocalyptic number.

1012864068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1012864068 is an abundant number, since it is smaller than the sum of its proper divisors (1615368252).

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

1012864068 is a wasteful number, since it uses less digits than its factorization.

1012864068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8185 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1012864068 is about 31825.5254159299. The cubic root of 1012864068 is about 1004.2697658193.

The spelling of 1012864068 in words is "one billion, twelve million, eight hundred sixty-four thousand, sixty-eight".