654768900 has 144 divisors (see below), whose sum is σ = 2117364480. Its totient is φ = 173577600.

The previous prime is 654768883. The next prime is 654768913. The reversal of 654768900 is 9867456.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531285 + ... + 532515.

It is an arithmetic number, because the mean of its divisors is an integer number (14703920).

Almost surely, 2^654768900 is an apocalyptic number.

654768900 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 654768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058682240).

654768900 is an abundant number, since it is smaller than the sum of its proper divisors (1462595580).

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

654768900 is a wasteful number, since it uses less digits than its factorization.

654768900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 654768900 is about 25588.4524737234. The cubic root of 654768900 is about 868.3524109295.

The spelling of 654768900 in words is "six hundred fifty-four million, seven hundred sixty-eight thousand, nine hundred".