1611889680 has 320 divisors, whose sum is σ = 5611783680. Its totient is φ = 380633088.

The previous prime is 1611889679. The next prime is 1611889691. The reversal of 1611889680 is 869881161.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 8351664 + ... + 8351856.

It is an arithmetic number, because the mean of its divisors is an integer number (17536824).

Almost surely, 2^1611889680 is an apocalyptic number.

1611889680 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 1611889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805891840).

1611889680 is an abundant number, since it is smaller than the sum of its proper divisors (3999894000).

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

1611889680 is a wasteful number, since it uses less digits than its factorization.

1611889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 1611889680 is about 40148.3459186054. The cubic root of 1611889680 is about 1172.4970847790.

The spelling of 1611889680 in words is "one billion, six hundred eleven million, eight hundred eighty-nine thousand, six hundred eighty".