1065506688 has 192 divisors, whose sum is σ = 3328153920. Its totient is φ = 325877760.

The previous prime is 1065506669. The next prime is 1065506731. The reversal of 1065506688 is 8866055601.

1065506688 is a `hidden beast` number, since 1 + 0 + 65 + 506 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1065506688² = 2270609004345458688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802281 + ... + 803607.

It is an arithmetic number, because the mean of its divisors is an integer number (17334135).

Almost surely, 2^1065506688 is an apocalyptic number.

1065506688 is a gapful number since it is divisible by the number (18) 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 1065506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664076960).

1065506688 is an abundant number, since it is smaller than the sum of its proper divisors (2262647232).

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

1065506688 is a wasteful number, since it uses less digits than its factorization.

1065506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1065506688 is about 32642.0999324492. The cubic root of 1065506688 is about 1021.3753994374.

The spelling of 1065506688 in words is "one billion, sixty-five million, five hundred six thousand, six hundred eighty-eight".