10079680 has 56 divisors (see below), whose sum is σ = 25859232. Its totient is φ = 3720192.

The previous prime is 10079677. The next prime is 10079687. The reversal of 10079680 is 8697001.

10079680 = T₃₂₇ + T₃₂₈ + ... + T₄₅₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10079687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2949 + ... + 5371.

It is an arithmetic number, because the mean of its divisors is an integer number (461772).

Almost surely, 2^10079680 is an apocalyptic number.

10079680 is a gapful number since it is divisible by the number (10) 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 10079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929616).

10079680 is an abundant number, since it is smaller than the sum of its proper divisors (15779552).

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

10079680 is a wasteful number, since it uses less digits than its factorization.

10079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 10079680 is about 3174.8511776145. The cubic root of 10079680 is about 216.0141737384.

The spelling of 10079680 in words is "ten million, seventy-nine thousand, six hundred eighty".