1654663680 has 320 divisors, whose sum is σ = 6045684480. Its totient is φ = 428654592.

The previous prime is 1654663679. The next prime is 1654663727. The reversal of 1654663680 is 863664561.

1654663680 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 6 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1654663680² = 5475823787822284800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2557117 + ... + 2557763.

It is an arithmetic number, because the mean of its divisors is an integer number (18892764).

Almost surely, 2^1654663680 is an apocalyptic number.

1654663680 is a gapful number since it is divisible by the number (10) 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 1654663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022842240).

1654663680 is an abundant number, since it is smaller than the sum of its proper divisors (4391020800).

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

1654663680 is an equidigital number, since it uses as much as digits as its factorization.

1654663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1654663680 is about 40677.5574487948. The cubic root of 1654663680 is about 1182.7780185318.

The spelling of 1654663680 in words is "one billion, six hundred fifty-four million, six hundred sixty-three thousand, six hundred eighty".