1610376768 has 896 divisors, whose sum is σ = 6827520000. Its totient is φ = 365783040.

The previous prime is 1610376767. The next prime is 1610376821. The reversal of 1610376768 is 8676730161.

It is not an unprimeable number, because it can be changed into a prime (1610376767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84756663 + ... + 84756681.

It is an arithmetic number, because the mean of its divisors is an integer number (7620000).

Almost surely, 2^1610376768 is an apocalyptic number.

1610376768 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 1610376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413760000).

1610376768 is an abundant number, since it is smaller than the sum of its proper divisors (5217143232).

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

1610376768 is a wasteful number, since it uses less digits than its factorization.

1610376768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1610376768 is about 40129.4999719658. The cubic root of 1610376768 is about 1172.1301365509.

The spelling of 1610376768 in words is "one billion, six hundred ten million, three hundred seventy-six thousand, seven hundred sixty-eight".