670599072 has 288 divisors, whose sum is σ = 2361078720. Its totient is φ = 177500160.

The previous prime is 670599071. The next prime is 670599101. The reversal of 670599072 is 270995076.

670599072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×670599072² = 899406230734522368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670599071) 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, 782068 + ... + 782924.

It is an arithmetic number, because the mean of its divisors is an integer number (8198190).

Almost surely, 2^670599072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670599072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180539360).

670599072 is an abundant number, since it is smaller than the sum of its proper divisors (1690479648).

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

670599072 is a wasteful number, since it uses less digits than its factorization.

670599072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 670599072 is about 25895.9277107425. The cubic root of 670599072 is about 875.2947347785.

The spelling of 670599072 in words is "six hundred seventy million, five hundred ninety-nine thousand, seventy-two".