654367968 has 72 divisors (see below), whose sum is σ = 1866337200. Its totient is φ = 217480704.

The previous prime is 654367943. The next prime is 654367969. The reversal of 654367968 is 869763456.

654367968 is a `hidden beast` number, since 6 + 543 + 6 + 7 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654367969) 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, 100228 + ... + 106556.

It is an arithmetic number, because the mean of its divisors is an integer number (25921350).

Almost surely, 2^654367968 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 654367968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933168600).

654367968 is an abundant number, since it is smaller than the sum of its proper divisors (1211969232).

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

654367968 is a wasteful number, since it uses less digits than its factorization.

654367968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6704 (or 6693 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 654367968 is about 25580.6170371240. The cubic root of 654367968 is about 868.1751364980.

The spelling of 654367968 in words is "six hundred fifty-four million, three hundred sixty-seven thousand, nine hundred sixty-eight".