667374048 has 144 divisors (see below), whose sum is σ = 2088685872. Its totient is φ = 202118400.

The previous prime is 667374047. The next prime is 667374073. The reversal of 667374048 is 840473766.

667374048 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 (144).

It is a junction number, because it is equal to n+sod(n) for n = 667373994 and 667374012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667374047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382458 + ... + 384198.

It is an arithmetic number, because the mean of its divisors is an integer number (14504763).

Almost surely, 2^667374048 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 667374048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044342936).

667374048 is an abundant number, since it is smaller than the sum of its proper divisors (1421311824).

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

667374048 is a wasteful number, since it uses less digits than its factorization.

667374048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 667374048 is about 25833.5837235177. The cubic root of 667374048 is about 873.8893327753.

The spelling of 667374048 in words is "six hundred sixty-seven million, three hundred seventy-four thousand, forty-eight".