26984880 has 240 divisors, whose sum is σ = 103430880. Its totient is φ = 6428160.

The previous prime is 26984879. The next prime is 26984917. The reversal of 26984880 is 8848962.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×26984880² = 1456367497228800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 870465 + ... + 870495.

It is an arithmetic number, because the mean of its divisors is an integer number (430962).

Almost surely, 2^26984880 is an apocalyptic number.

26984880 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 26984880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51715440).

26984880 is an abundant number, since it is smaller than the sum of its proper divisors (76446000).

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

26984880 is a wasteful number, since it uses less digits than its factorization.

26984880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 26984880 is about 5194.6972962820. The cubic root of 26984880 is about 299.9439895434.

It can be divided in two parts, 26 and 984880, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 26984880 in words is "twenty-six million, nine hundred eighty-four thousand, eight hundred eighty".