845610768 has 60 divisors (see below), whose sum is σ = 2448152460. Its totient is φ = 272149248.

The previous prime is 845610761. The next prime is 845610791. The reversal of 845610768 is 867016548.

It is a happy number.

845610768 is a `hidden beast` number, since 84 + 561 + 0 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 493372944 + 352237824 = 22212^2 + 18768^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (845610761) 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, 97071 + ... + 105422.

It is an arithmetic number, because the mean of its divisors is an integer number (40802541).

Almost surely, 2^845610768 is an apocalyptic number.

It is an amenable number.

845610768 is an abundant number, since it is smaller than the sum of its proper divisors (1602541692).

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

845610768 is a wasteful number, since it uses less digits than its factorization.

845610768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202536 (or 202527 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 845610768 is about 29079.3873388007. The cubic root of 845610768 is about 945.6349205928.

The spelling of 845610768 in words is "eight hundred forty-five million, six hundred ten thousand, seven hundred sixty-eight".