672670656 has 336 divisors, whose sum is σ = 2360956416. Its totient is φ = 185877504.

The previous prime is 672670651. The next prime is 672670679. The reversal of 672670656 is 656076276.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×672670656² = 904971622886940672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672670651) 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, 4027885 + ... + 4028051.

It is an arithmetic number, because the mean of its divisors is an integer number (7026656).

Almost surely, 2^672670656 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 672670656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180478208).

672670656 is an abundant number, since it is smaller than the sum of its proper divisors (1688285760).

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

672670656 is a wasteful number, since it uses less digits than its factorization.

672670656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 672670656 is about 25935.8951262531. The cubic root of 672670656 is about 876.1951151043.

The spelling of 672670656 in words is "six hundred seventy-two million, six hundred seventy thousand, six hundred fifty-six".