672660 has 72 divisors (see below), whose sum is σ = 2116296. Its totient is φ = 172800.

The previous prime is 672653. The next prime is 672667. The reversal of 672660 is 66276.

It is an interprime number because it is at equal distance from previous prime (672653) and next prime (672667).

It can be written as a sum of positive squares in 4 ways, for example, as 374544 + 298116 = 612^2 + 546^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672667) 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, 6610 + ... + 6710.

It is an arithmetic number, because the mean of its divisors is an integer number (29393).

2⁶⁷²⁶⁶⁰ is an apocalyptic number.

672660 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 672660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058148).

672660 is an abundant number, since it is smaller than the sum of its proper divisors (1443636).

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

672660 is a wasteful number, since it uses less digits than its factorization.

672660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

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

The square root of 672660 is about 820.1585212628. The cubic root of 672660 is about 87.6190488380.

Adding to 672660 its product of nonzero digits (3024), we get a square (675684 = 822²).

It can be divided in two parts, 6726 and 60, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 672660 in words is "six hundred seventy-two thousand, six hundred sixty".