673965600 has 432 divisors, whose sum is σ = 2789258976. Its totient is φ = 139776000.

The previous prime is 673965599. The next prime is 673965601. The reversal of 673965600 is 6569376.

It is an interprime number because it is at equal distance from previous prime (673965599) and next prime (673965601).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (673965601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1293340 + ... + 1293860.

It is an arithmetic number, because the mean of its divisors is an integer number (6456618).

Almost surely, 2^673965600 is an apocalyptic number.

673965600 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 673965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394629488).

673965600 is an abundant number, since it is smaller than the sum of its proper divisors (2115293376).

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

673965600 is a wasteful number, since it uses less digits than its factorization.

673965600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 673965600 is about 25960.8474437951. The cubic root of 673965600 is about 876.7570029042.

The spelling of 673965600 in words is "six hundred seventy-three million, nine hundred sixty-five thousand, six hundred".