669735000 has 480 divisors, whose sum is σ = 2617599600. Its totient is φ = 158400000.

The previous prime is 669734993. The next prime is 669735029. The reversal of 669735000 is 537966.

It is a happy number.

669735000 is a `hidden beast` number, since 66 + 97 + 3 + 500 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16334980 + ... + 16335020.

Almost surely, 2^669735000 is an apocalyptic number.

669735000 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 669735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308799800).

669735000 is an abundant number, since it is smaller than the sum of its proper divisors (1947864600).

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

669735000 is a wasteful number, since it uses less digits than its factorization.

669735000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 669735000 is about 25879.2387832409. The cubic root of 669735000 is about 874.9186318894.

The spelling of 669735000 in words is "six hundred sixty-nine million, seven hundred thirty-five thousand".