1611377768 has 128 divisors (see below), whose sum is σ = 4188119040. Its totient is φ = 560736000.

The previous prime is 1611377717. The next prime is 1611377813. The reversal of 1611377768 is 8677731161.

It is a super-2 number, since 2×1611377768² = 5193076622409323648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245003 + ... + 251493.

It is an arithmetic number, because the mean of its divisors is an integer number (32719680).

Almost surely, 2^1611377768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1611377768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094059520).

1611377768 is an abundant number, since it is smaller than the sum of its proper divisors (2576741272).

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

1611377768 is a wasteful number, since it uses less digits than its factorization.

1611377768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6555 counting only the distinct ones).

The product of its digits is 296352, while the sum is 47.

The square root of 1611377768 is about 40141.9701559353. The cubic root of 1611377768 is about 1172.3729491374.

The spelling of 1611377768 in words is "one billion, six hundred eleven million, three hundred seventy-seven thousand, seven hundred sixty-eight".