1766305968 has 160 divisors (see below), whose sum is σ = 5512266240. Its totient is φ = 476098560.

The previous prime is 1766305939. The next prime is 1766305973. The reversal of 1766305968 is 8695036671.

It is a self number, because there is not a number n which added to its sum of digits gives 1766305968.

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, 2150998 + ... + 2151818.

It is an arithmetic number, because the mean of its divisors is an integer number (34451664).

Almost surely, 2^1766305968 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 1766305968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756133120).

1766305968 is an abundant number, since it is smaller than the sum of its proper divisors (3745960272).

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

1766305968 is a wasteful number, since it uses less digits than its factorization.

1766305968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 1766305968 is about 42027.4430342842. The cubic root of 1766305968 is about 1208.8023958677.

The spelling of 1766305968 in words is "one billion, seven hundred sixty-six million, three hundred five thousand, nine hundred sixty-eight".