1605066768 has 120 divisors (see below), whose sum is σ = 4599268128. Its totient is φ = 522395136.

The previous prime is 1605066761. The next prime is 1605066809. The reversal of 1605066768 is 8676605061.

It is not an unprimeable number, because it can be changed into a prime (1605066761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124071 + ... + 1125497.

Almost surely, 2^1605066768 is an apocalyptic number.

1605066768 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 1605066768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299634064).

1605066768 is an abundant number, since it is smaller than the sum of its proper divisors (2994201360).

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

1605066768 is a wasteful number, since it uses less digits than its factorization.

1605066768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1605066768 is about 40063.2845383401. The cubic root of 1605066768 is about 1170.8404043066.

The spelling of 1605066768 in words is "one billion, six hundred five million, sixty-six thousand, seven hundred sixty-eight".