1012667216 has 40 divisors (see below), whose sum is σ = 2142225984. Its totient is φ = 459912960.

The previous prime is 1012667191. The next prime is 1012667221. The reversal of 1012667216 is 6127662101.

It is a super-2 number, since 2×1012667216² = 2050989780722381312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349325 + ... + 352211.

Almost surely, 2^1012667216 is an apocalyptic number.

1012667216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1012667216 is an abundant number, since it is smaller than the sum of its proper divisors (1129558768).

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

1012667216 is a wasteful number, since it uses less digits than its factorization.

1012667216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1012667216 is about 31822.4325908627. The cubic root of 1012667216 is about 1004.2047010434.

The spelling of 1012667216 in words is "one billion, twelve million, six hundred sixty-seven thousand, two hundred sixteen".