679053312 has 288 divisors, whose sum is σ = 2367892800. Its totient is φ = 183140352.

The previous prime is 679053307. The next prime is 679053313. The reversal of 679053312 is 213350976.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×679053312² = 922226801076338688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (679053313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2451318 + ... + 2451594.

It is an arithmetic number, because the mean of its divisors is an integer number (8221850).

Almost surely, 2^679053312 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 679053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183946400).

679053312 is an abundant number, since it is smaller than the sum of its proper divisors (1688839488).

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

679053312 is a wasteful number, since it uses less digits than its factorization.

679053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 679053312 is about 26058.6513849048. The cubic root of 679053312 is about 878.9576639404.

It can be divided in two parts, 67905 and 3312, that added together give a palindrome (71217).

The spelling of 679053312 in words is "six hundred seventy-nine million, fifty-three thousand, three hundred twelve".