664054560 has 288 divisors, whose sum is σ = 2570218560. Its totient is φ = 154773504.

The previous prime is 664054553. The next prime is 664054603. The reversal of 664054560 is 65450466.

It is a happy number.

664054560 is a `hidden beast` number, since 6 + 6 + 40 + 54 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354747 + ... + 356613.

It is an arithmetic number, because the mean of its divisors is an integer number (8924370).

Almost surely, 2^664054560 is an apocalyptic number.

664054560 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 664054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285109280).

664054560 is an abundant number, since it is smaller than the sum of its proper divisors (1906164000).

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

664054560 is a wasteful number, since it uses less digits than its factorization.

664054560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 664054560 is about 25769.2561010208. The cubic root of 664054560 is about 872.4380286743.

The spelling of 664054560 in words is "six hundred sixty-four million, fifty-four thousand, five hundred sixty".