672618600 has 288 divisors, whose sum is σ = 2466806400. Its totient is φ = 168422400.

The previous prime is 672618593. The next prime is 672618641. The reversal of 672618600 is 6816276.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1560385 + ... + 1560815.

It is an arithmetic number, because the mean of its divisors is an integer number (8565300).

Almost surely, 2^672618600 is an apocalyptic number.

672618600 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 672618600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233403200).

672618600 is an abundant number, since it is smaller than the sum of its proper divisors (1794187800).

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

672618600 is a wasteful number, since it uses less digits than its factorization.

672618600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 672618600 is about 25934.8915555859. The cubic root of 672618600 is about 876.1725124685.

The spelling of 672618600 in words is "six hundred seventy-two million, six hundred eighteen thousand, six hundred".