679117824 has 528 divisors, whose sum is σ = 2613609600. Its totient is φ = 170311680.

The previous prime is 679117823. The next prime is 679117843. The reversal of 679117824 is 428711976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×679117824² = 922402037748989952, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 679117824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679117823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23417842 + ... + 23417870.

Almost surely, 2^679117824 is an apocalyptic number.

679117824 is a gapful number since it is divisible by the number (64) 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 679117824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306804800).

679117824 is an abundant number, since it is smaller than the sum of its proper divisors (1934491776).

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

679117824 is a wasteful number, since it uses less digits than its factorization.

679117824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 679117824 is about 26059.8891785825. The cubic root of 679117824 is about 878.9854975534.

The spelling of 679117824 in words is "six hundred seventy-nine million, one hundred seventeen thousand, eight hundred twenty-four".