654400080 has 320 divisors, whose sum is σ = 2414131200. Its totient is φ = 162570240.

The previous prime is 654400079. The next prime is 654400127. The reversal of 654400080 is 80004456.

654400080 is a `hidden beast` number, since 654 + 4 + 0 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1941672 + ... + 1942008.

It is an arithmetic number, because the mean of its divisors is an integer number (7544160).

Almost surely, 2^654400080 is an apocalyptic number.

654400080 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 654400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207065600).

654400080 is an abundant number, since it is smaller than the sum of its proper divisors (1759731120).

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

654400080 is a wasteful number, since it uses less digits than its factorization.

654400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 654400080 is about 25581.2446921568. The cubic root of 654400080 is about 868.1893376740.

The spelling of 654400080 in words is "six hundred fifty-four million, four hundred thousand, eighty".