654933672 has 96 divisors (see below), whose sum is σ = 1830465000. Its totient is φ = 211415040.

The previous prime is 654933641. The next prime is 654933677. The reversal of 654933672 is 276339456.

654933672 is a `hidden beast` number, since 6 + 549 + 3 + 36 + 72 = 666.

654933672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165019716 + 489913956 = 12846^2 + 22134^2 .

It is a super-2 number, since 2×654933672² = 857876229438807168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (654933677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439104 + ... + 440592.

Almost surely, 2^654933672 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 654933672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915232500).

654933672 is an abundant number, since it is smaller than the sum of its proper divisors (1175531328).

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

654933672 is a wasteful number, since it uses less digits than its factorization.

654933672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1684 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 654933672 is about 25591.6719266249. The cubic root of 654933672 is about 868.4252448526.

The spelling of 654933672 in words is "six hundred fifty-four million, nine hundred thirty-three thousand, six hundred seventy-two".