1065516816 has 160 divisors (see below), whose sum is σ = 3429780480. Its totient is φ = 277535232.

The previous prime is 1065516799. The next prime is 1065516817. The reversal of 1065516816 is 6186155601.

It is a super-2 number, since 2×1065516816² = 2270652170357555712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1065516817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361075 + ... + 364013.

It is an arithmetic number, because the mean of its divisors is an integer number (21436128).

Almost surely, 2^1065516816 is an apocalyptic number.

1065516816 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 1065516816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714890240).

1065516816 is an abundant number, since it is smaller than the sum of its proper divisors (2364263664).

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

1065516816 is a wasteful number, since it uses less digits than its factorization.

1065516816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 1065516816 is about 32642.2550691584. The cubic root of 1065516816 is about 1021.3786355995.

The spelling of 1065516816 in words is "one billion, sixty-five million, five hundred sixteen thousand, eight hundred sixteen".