1616160416 has 24 divisors (see below), whose sum is σ = 3426571764. Its totient is φ = 745920000.

The previous prime is 1616160409. The next prime is 1616160439. The reversal of 1616160416 is 6140616161.

It can be written as a sum of positive squares in 2 ways, for example, as 1600320016 + 15840400 = 40004^2 + 3980^2 .

It is a super-2 number, since 2×1616160416² = 5223948980490586112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 1942085 + ... + 1942916.

Almost surely, 2^1616160416 is an apocalyptic number.

1616160416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1616160416 is an abundant number, since it is smaller than the sum of its proper divisors (1810411348).

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

1616160416 is a wasteful number, since it uses less digits than its factorization.

1616160416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885024 (or 3885016 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1616160416 is about 40201.4976835441. The cubic root of 1616160416 is about 1173.5316902369.

Adding to 1616160416 its reverse (6140616161), we get a palindrome (7756776577).

The spelling of 1616160416 in words is "one billion, six hundred sixteen million, one hundred sixty thousand, four hundred sixteen".