654976 has 64 divisors (see below), whose sum is σ = 1615680. Its totient is φ = 258048.

The previous prime is 654967. The next prime is 654991. The reversal of 654976 is 679456.

654976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (45360) is a multiple of the sum of its prime factors (81).

It is an unprimeable number.

654976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15211 + ... + 15253.

It is an arithmetic number, because the mean of its divisors is an integer number (25245).

2⁶⁵⁴⁹⁷⁶ 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 654976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807840).

654976 is an abundant number, since it is smaller than the sum of its proper divisors (960704).

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

654976 is a wasteful number, since it uses less digits than its factorization.

654976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 654976 is about 809.3058754266. The cubic root of 654976 is about 86.8443953064.

Adding to 654976 its product of digits (45360), we get a triangular number (700336 = T₁₁₈₃).

It can be divided in two parts, 65 and 4976, that added together give a square (5041 = 71²).

The spelling of 654976 in words is "six hundred fifty-four thousand, nine hundred seventy-six".