1065372768 has 144 divisors (see below), whose sum is σ = 3154788000. Its totient is φ = 340623360.

The previous prime is 1065372767. The next prime is 1065372787. The reversal of 1065372768 is 8672735601.

1065372768 is a `hidden beast` number, since 106 + 537 + 2 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1065372768³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065372767) 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, 1661728 + ... + 1662368.

It is an arithmetic number, because the mean of its divisors is an integer number (21908250).

Almost surely, 2^1065372768 is an apocalyptic number.

1065372768 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 1065372768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577394000).

1065372768 is an abundant number, since it is smaller than the sum of its proper divisors (2089415232).

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

1065372768 is a wasteful number, since it uses less digits than its factorization.

1065372768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1065372768 is about 32640.0485293757. The cubic root of 1065372768 is about 1021.3326065495.

The spelling of 1065372768 in words is "one billion, sixty-five million, three hundred seventy-two thousand, seven hundred sixty-eight".