26979680 has 192 divisors, whose sum is σ = 83825280. Its totient is φ = 7962624.

The previous prime is 26979671. The next prime is 26979683. The reversal of 26979680 is 8697962.

26979680 = T₁ + T₂ + ... + T₅₄₄.

26979680 is a nontrivial binomial coefficient, being equal to C(546, 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26979683) by changing a digit.

It is the 544-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247466 + ... + 247574.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 2^26979680 is an apocalyptic number.

26979680 is a gapful number since it is divisible by the number (20) 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 26979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912640).

26979680 is an abundant number, since it is smaller than the sum of its proper divisors (56845600).

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

26979680 is a wasteful number, since it uses less digits than its factorization.

26979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 26979680 is about 5194.1967617717. The cubic root of 26979680 is about 299.9247218530.

The spelling of 26979680 in words is "twenty-six million, nine hundred seventy-nine thousand, six hundred eighty".