654742000 has 80 divisors (see below), whose sum is σ = 1727148384. Its totient is φ = 238080000.

The previous prime is 654741991. The next prime is 654742003. The reversal of 654742000 is 247456.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 654742000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654742003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7120 + ... + 36880.

Almost surely, 2^654742000 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 654742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863574192).

654742000 is an abundant number, since it is smaller than the sum of its proper divisors (1072406384).

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

654742000 is a wasteful number, since it uses less digits than its factorization.

654742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29795 (or 29779 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 654742000 is about 25587.9268406020. The cubic root of 654742000 is about 868.3405192021.

Adding to 654742000 its reverse (247456), we get a palindrome (654989456).

The spelling of 654742000 in words is "six hundred fifty-four million, seven hundred forty-two thousand".