1021664112 has 120 divisors (see below), whose sum is σ = 3120974352. Its totient is φ = 287078400.

The previous prime is 1021664101. The next prime is 1021664123. The reversal of 1021664112 is 2114661201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1021664101) and next prime (1021664123).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139912 + ... + 147032.

Almost surely, 2^1021664112 is an apocalyptic number.

1021664112 is a gapful number since it is divisible by the number (12) 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 1021664112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560487176).

1021664112 is an abundant number, since it is smaller than the sum of its proper divisors (2099310240).

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

1021664112 is a wasteful number, since it uses less digits than its factorization.

1021664112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1021664112 is about 31963.4809118156. The cubic root of 1021664112 is about 1007.1698411849.

The spelling of 1021664112 in words is "one billion, twenty-one million, six hundred sixty-four thousand, one hundred twelve".