665829120 has 216 divisors, whose sum is σ = 2339014608. Its totient is φ = 161300480.

The previous prime is 665829113. The next prime is 665829121. The reversal of 665829120 is 21928566.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665829121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463924 + ... + 465356.

Almost surely, 2^665829120 is an apocalyptic number.

665829120 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 665829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169507304).

665829120 is an abundant number, since it is smaller than the sum of its proper divisors (1673185488).

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

665829120 is a wasteful number, since it uses less digits than its factorization.

665829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 665829120 is about 25803.6648559851. The cubic root of 665829120 is about 873.2144792254.

It can be divided in two parts, 6658 and 29120, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 665829120 in words is "six hundred sixty-five million, eight hundred twenty-nine thousand, one hundred twenty".