26984560 has 80 divisors (see below), whose sum is σ = 67808160. Its totient is φ = 9953280.

The previous prime is 26984557. The next prime is 26984563. The reversal of 26984560 is 6548962.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26984557) and next prime (26984563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26984563) 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 15 ways as a sum of consecutive naturals, for example, 62104 + ... + 62536.

It is an arithmetic number, because the mean of its divisors is an integer number (847602).

Almost surely, 2^26984560 is an apocalyptic number.

26984560 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 26984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33904080).

26984560 is an abundant number, since it is smaller than the sum of its proper divisors (40823600).

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

26984560 is a wasteful number, since it uses less digits than its factorization.

26984560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 26984560 is about 5194.6664955510. Note that the first 3 decimals coincide. The cubic root of 26984560 is about 299.9428039109.

The spelling of 26984560 in words is "twenty-six million, nine hundred eighty-four thousand, five hundred sixty".