654005688 has 128 divisors (see below), whose sum is σ = 1976064000. Its totient is φ = 176204160.

The previous prime is 654005641. The next prime is 654005701. The reversal of 654005688 is 886500456.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056243 + ... + 1056861.

It is an arithmetic number, because the mean of its divisors is an integer number (15438000).

Almost surely, 2^654005688 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 654005688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988032000).

654005688 is an abundant number, since it is smaller than the sum of its proper divisors (1322058312).

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

654005688 is a wasteful number, since it uses less digits than its factorization.

654005688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 654005688 is about 25573.5349140474. The cubic root of 654005688 is about 868.0148899879.

The spelling of 654005688 in words is "six hundred fifty-four million, five thousand, six hundred eighty-eight".