1065436416 has 288 divisors, whose sum is σ = 3499655040. Its totient is φ = 320993280.

The previous prime is 1065436403. The next prime is 1065436441. The reversal of 1065436416 is 6146345601.

It is a happy number.

1065436416 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 4 + 3 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1065436416² = 2270309513077850112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6158506 + ... + 6158678.

It is an arithmetic number, because the mean of its divisors is an integer number (12151580).

Almost surely, 2^1065436416 is an apocalyptic number.

1065436416 is a gapful number since it is divisible by the number (16) 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 1065436416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749827520).

1065436416 is an abundant number, since it is smaller than the sum of its proper divisors (2434218624).

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

1065436416 is an frugal number, since it uses more digits than its factorization.

1065436416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1065436416 is about 32641.0235133643. The cubic root of 1065436416 is about 1021.3529451219.

The spelling of 1065436416 in words is "one billion, sixty-five million, four hundred thirty-six thousand, four hundred sixteen".