664354152 has 576 divisors, whose sum is σ = 2592907200. Its totient is φ = 150958080.

The previous prime is 664354151. The next prime is 664354177. The reversal of 664354152 is 251453466.

664354152 is a `hidden beast` number, since 6 + 64 + 3 + 541 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (664354151) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12534958 + ... + 12535010.

It is an arithmetic number, because the mean of its divisors is an integer number (4501575).

Almost surely, 2^664354152 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 664354152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296453600).

664354152 is an abundant number, since it is smaller than the sum of its proper divisors (1928553048).

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

664354152 is a wasteful number, since it uses less digits than its factorization.

664354152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

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

The square root of 664354152 is about 25775.0684189199. The cubic root of 664354152 is about 872.5692107450.

The spelling of 664354152 in words is "six hundred sixty-four million, three hundred fifty-four thousand, one hundred fifty-two".