654546240 has 336 divisors, whose sum is σ = 2471348880. Its totient is φ = 158269440.

The previous prime is 654546239. The next prime is 654546241. The reversal of 654546240 is 42645456.

It is an interprime number because it is at equal distance from previous prime (654546239) and next prime (654546241).

It can be written as a sum of positive squares in 8 ways, for example, as 5184 + 654541056 = 72^2 + 25584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 654546195 and 654546204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654546241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1419610 + ... + 1420070.

It is an arithmetic number, because the mean of its divisors is an integer number (7355205).

Almost surely, 2^654546240 is an apocalyptic number.

654546240 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 654546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235674440).

654546240 is an abundant number, since it is smaller than the sum of its proper divisors (1816802640).

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

654546240 is a wasteful number, since it uses less digits than its factorization.

654546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 654546240 is about 25584.1013131202. The cubic root of 654546240 is about 868.2539694446.

The spelling of 654546240 in words is "six hundred fifty-four million, five hundred forty-six thousand, two hundred forty".