679462560 has 192 divisors, whose sum is σ = 2717971200. Its totient is φ = 155298816.

The previous prime is 679462543. The next prime is 679462583. The reversal of 679462560 is 65264976.

679462560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19006 + ... + 41474.

It is an arithmetic number, because the mean of its divisors is an integer number (14156100).

Almost surely, 2^679462560 is an apocalyptic number.

679462560 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 679462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358985600).

679462560 is an abundant number, since it is smaller than the sum of its proper divisors (2038508640).

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

679462560 is a wasteful number, since it uses less digits than its factorization.

679462560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22500 (or 22486 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 679462560 is about 26066.5026422802. The cubic root of 679462560 is about 879.1342035536.

The spelling of 679462560 in words is "six hundred seventy-nine million, four hundred sixty-two thousand, five hundred sixty".