675993600 has 360 divisors, whose sum is σ = 2519096580. Its totient is φ = 179159040.

The previous prime is 675993569. The next prime is 675993601. The reversal of 675993600 is 6399576.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675993601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4147119 + ... + 4147281.

Almost surely, 2^675993600 is an apocalyptic number.

675993600 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 675993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259548290).

675993600 is an abundant number, since it is smaller than the sum of its proper divisors (1843102980).

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

675993600 is a wasteful number, since it uses less digits than its factorization.

675993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 675993600 is about 25999.8769227856. The cubic root of 675993600 is about 877.6355258570.

The spelling of 675993600 in words is "six hundred seventy-five million, nine hundred ninety-three thousand, six hundred".