679887936 has 504 divisors, whose sum is σ = 2608646040. Its totient is φ = 167215104.

The previous prime is 679887917. The next prime is 679887937. The reversal of 679887936 is 639788976.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 126697536 + 553190400 = 11256^2 + 23520^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (679887937) 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, 6237450 + ... + 6237558.

It is an arithmetic number, because the mean of its divisors is an integer number (5175885).

Almost surely, 2^679887936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304323020).

679887936 is an abundant number, since it is smaller than the sum of its proper divisors (1928758104).

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

679887936 is a wasteful number, since it uses less digits than its factorization.

679887936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 679887936 is about 26074.6608031629. The cubic root of 679887936 is about 879.3176252758.

The spelling of 679887936 in words is "six hundred seventy-nine million, eight hundred eighty-seven thousand, nine hundred thirty-six".