1071768768 has 84 divisors (see below), whose sum is σ = 3298725432. Its totient is φ = 306216960.

The previous prime is 1071768767. The next prime is 1071768773. The reversal of 1071768768 is 8678671701.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×1071768768² = 2297376584120475648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1071768768.

It is not an unprimeable number, because it can be changed into a prime (1071768767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47553 + ... + 66368.

Almost surely, 2^1071768768 is an apocalyptic number.

It is an amenable number.

1071768768 is an abundant number, since it is smaller than the sum of its proper divisors (2226956664).

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

1071768768 is a wasteful number, since it uses less digits than its factorization.

1071768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113950 (or 113933 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 51.

The square root of 1071768768 is about 32737.8797114291. The cubic root of 1071768768 is about 1023.3723978151.

The spelling of 1071768768 in words is "one billion, seventy-one million, seven hundred sixty-eight thousand, seven hundred sixty-eight".