679746600 has 384 divisors, whose sum is σ = 2637331200. Its totient is φ = 159667200.

The previous prime is 679746559. The next prime is 679746601. The reversal of 679746600 is 6647976.

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

It is not an unprimeable number, because it can be changed into a prime (679746601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1614390 + ... + 1614810.

It is an arithmetic number, because the mean of its divisors is an integer number (6868050).

Almost surely, 2^679746600 is an apocalyptic number.

679746600 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 679746600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318665600).

679746600 is an abundant number, since it is smaller than the sum of its proper divisors (1957584600).

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

679746600 is a wasteful number, since it uses less digits than its factorization.

679746600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 679746600 is about 26071.9504448747. The cubic root of 679746600 is about 879.2566898176.

The spelling of 679746600 in words is "six hundred seventy-nine million, seven hundred forty-six thousand, six hundred".