672606000 has 480 divisors, whose sum is σ = 2655544320. Its totient is φ = 157248000.

The previous prime is 672605981. The next prime is 672606047. The reversal of 672606000 is 606276.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8513961 + ... + 8514039.

It is an arithmetic number, because the mean of its divisors is an integer number (5532384).

Almost surely, 2^672606000 is an apocalyptic number.

672606000 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 672606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327772160).

672606000 is an abundant number, since it is smaller than the sum of its proper divisors (1982938320).

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

672606000 is a wasteful number, since it uses less digits than its factorization.

672606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 672606000 is about 25934.6486384528. The cubic root of 672606000 is about 876.1670413924.

The spelling of 672606000 in words is "six hundred seventy-two million, six hundred six thousand".