1065664512 has 300 divisors, whose sum is σ = 3520748616. Its totient is φ = 318504960.

The previous prime is 1065664487. The next prime is 1065664541. The reversal of 1065664512 is 2154665601.

1065664512 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 645 + 1 + 2 = 666.

It is a super-2 number, since 2×1065664512² = 2271281704272396288, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14598108 + ... + 14598180.

Almost surely, 2^1065664512 is an apocalyptic number.

1065664512 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 1065664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760374308).

1065664512 is an abundant number, since it is smaller than the sum of its proper divisors (2455084104).

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

1065664512 is an frugal number, since it uses more digits than its factorization.

1065664512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1065664512 is about 32644.5173344622. The cubic root of 1065664512 is about 1021.4258260230.

The spelling of 1065664512 in words is "one billion, sixty-five million, six hundred sixty-four thousand, five hundred twelve".