1616987268 has 108 divisors (see below), whose sum is σ = 4499573988. Its totient is φ = 489265920.

The previous prime is 1616987171. The next prime is 1616987287. The reversal of 1616987268 is 8627896161.

It can be written as a sum of positive squares in 6 ways, for example, as 155301444 + 1461685824 = 12462^2 + 38232^2 .

It is a super-2 number, since 2×1616987268² = 5229295649748207648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 368946 + ... + 373302.

Almost surely, 2^1616987268 is an apocalyptic number.

1616987268 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 1616987268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249786994).

1616987268 is an abundant number, since it is smaller than the sum of its proper divisors (2882586720).

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

1616987268 is a wasteful number, since it uses less digits than its factorization.

1616987268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4436 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1616987268 is about 40211.7802142606. The cubic root of 1616987268 is about 1173.7317882764.

The spelling of 1616987268 in words is "one billion, six hundred sixteen million, nine hundred eighty-seven thousand, two hundred sixty-eight".