669081600 has 504 divisors, whose sum is σ = 2701884360. Its totient is φ = 162201600.

The previous prime is 669081577. The next prime is 669081607. The reversal of 669081600 is 6180966.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669081607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60825595 + ... + 60825605.

Almost surely, 2^669081600 is an apocalyptic number.

669081600 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 669081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350942180).

669081600 is an abundant number, since it is smaller than the sum of its proper divisors (2032802760).

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

669081600 is a wasteful number, since it uses less digits than its factorization.

669081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 669081600 is about 25866.6116837904. The cubic root of 669081600 is about 874.6340129260.

The spelling of 669081600 in words is "six hundred sixty-nine million, eighty-one thousand, six hundred".