670395600 has 360 divisors, whose sum is σ = 2734467840. Its totient is φ = 148884480.

The previous prime is 670395599. The next prime is 670395617. The reversal of 670395600 is 6593076.

It is a happy number.

670395600 is a `hidden beast` number, since 67 + 0 + 39 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 932041 + ... + 932759.

It is an arithmetic number, because the mean of its divisors is an integer number (7595744).

Almost surely, 2^670395600 is an apocalyptic number.

670395600 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 670395600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367233920).

670395600 is an abundant number, since it is smaller than the sum of its proper divisors (2064072240).

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

670395600 is a wasteful number, since it uses less digits than its factorization.

670395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 773 counting only the distinct ones).

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

The square root of 670395600 is about 25891.9987640970. The cubic root of 670395600 is about 875.2061990232.

The spelling of 670395600 in words is "six hundred seventy million, three hundred ninety-five thousand, six hundred".