654792960 has 144 divisors (see below), whose sum is σ = 2142766080. Its totient is φ = 170311680.

The previous prime is 654792947. The next prime is 654792989. The reversal of 654792960 is 69297456.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155361 + ... + 159519.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 2^654792960 is an apocalyptic number.

654792960 is a gapful number since it is divisible by the number (60) 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 654792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071383040).

654792960 is an abundant number, since it is smaller than the sum of its proper divisors (1487973120).

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

654792960 is a wasteful number, since it uses less digits than its factorization.

654792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 654792960 is about 25588.9226033454. The cubic root of 654792960 is about 868.3630468975.

The spelling of 654792960 in words is "six hundred fifty-four million, seven hundred ninety-two thousand, nine hundred sixty".