669957120 has 528 divisors, whose sum is σ = 2779465728. Its totient is φ = 145981440.

The previous prime is 669957107. The next prime is 669957121. The reversal of 669957120 is 21759966.

It is a happy number.

669957120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669957121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9999327 + ... + 9999393.

Almost surely, 2^669957120 is an apocalyptic number.

669957120 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 669957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389732864).

669957120 is an abundant number, since it is smaller than the sum of its proper divisors (2109508608).

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

669957120 is a wasteful number, since it uses less digits than its factorization.

669957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 669957120 is about 25883.5298983736. The cubic root of 669957120 is about 875.0153444928.

The spelling of 669957120 in words is "six hundred sixty-nine million, nine hundred fifty-seven thousand, one hundred twenty".