1616880800 has 72 divisors (see below), whose sum is σ = 3991736700. Its totient is φ = 639457280.

The previous prime is 1616880767. The next prime is 1616880817. The reversal of 1616880800 is 80886161.

It can be written as a sum of positive squares in 6 ways, for example, as 22316176 + 1594564624 = 4724^2 + 39932^2 .

It is a super-2 number, since 2×1616880800² = 5228607042817280000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59846 + ... + 82554.

Almost surely, 2^1616880800 is an apocalyptic number.

1616880800 is a gapful number since it is divisible by the number (10) 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 1616880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995868350).

1616880800 is an abundant number, since it is smaller than the sum of its proper divisors (2374855900).

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

1616880800 is a wasteful number, since it uses less digits than its factorization.

1616880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22818 (or 22805 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 1616880800 is about 40210.4563515511. The cubic root of 1616880800 is about 1173.7060268658.

The spelling of 1616880800 in words is "one billion, six hundred sixteen million, eight hundred eighty thousand, eight hundred".