679532040 has 192 divisors, whose sum is σ = 2434536000. Its totient is φ = 163008000.

The previous prime is 679532011. The next prime is 679532057. The reversal of 679532040 is 40235976.

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

It is a junction number, because it is equal to n+sod(n) for n = 679531986 and 679532004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399111 + ... + 400809.

It is an arithmetic number, because the mean of its divisors is an integer number (12679875).

Almost surely, 2^679532040 is an apocalyptic number.

679532040 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 679532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217268000).

679532040 is an abundant number, since it is smaller than the sum of its proper divisors (1755003960).

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

679532040 is a wasteful number, since it uses less digits than its factorization.

679532040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 679532040 is about 26067.8353531704. The cubic root of 679532040 is about 879.1641684927.

The spelling of 679532040 in words is "six hundred seventy-nine million, five hundred thirty-two thousand, forty".