666029952 has 576 divisors, whose sum is σ = 2539555200. Its totient is φ = 172440576.

The previous prime is 666029909. The next prime is 666029957. The reversal of 666029952 is 259920666.

666029952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×666029952² = 887191793922244608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 666029898 and 666029907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666029957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28957813 + ... + 28957835.

It is an arithmetic number, because the mean of its divisors is an integer number (4408950).

Almost surely, 2^666029952 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 666029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

666029952 is an abundant number, since it is smaller than the sum of its proper divisors (1873525248).

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

666029952 is a wasteful number, since it uses less digits than its factorization.

666029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 666029952 is about 25807.5561028161. The cubic root of 666029952 is about 873.3022654035.

The spelling of 666029952 in words is "six hundred sixty-six million, twenty-nine thousand, nine hundred fifty-two".