673651200 has 240 divisors, whose sum is σ = 2274202656. Its totient is φ = 175718400.

The previous prime is 673651159. The next prime is 673651217. The reversal of 673651200 is 2156376.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×673651200² = 907611878522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035035 + ... + 2035365.

Almost surely, 2^673651200 is an apocalyptic number.

673651200 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 673651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137101328).

673651200 is an abundant number, since it is smaller than the sum of its proper divisors (1600551456).

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

673651200 is a wasteful number, since it uses less digits than its factorization.

673651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 673651200 is about 25954.7914651611. The cubic root of 673651200 is about 876.6206481327.

The spelling of 673651200 in words is "six hundred seventy-three million, six hundred fifty-one thousand, two hundred".