26286480 has 120 divisors (see below), whose sum is σ = 96333120. Its totient is φ = 6370560.

The previous prime is 26286479. The next prime is 26286487. The reversal of 26286480 is 8468262.

26286480 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26286487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6261 + ... + 9579.

It is an arithmetic number, because the mean of its divisors is an integer number (802776).

Almost surely, 2^26286480 is an apocalyptic number.

26286480 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 26286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48166560).

26286480 is an abundant number, since it is smaller than the sum of its proper divisors (70046640).

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

26286480 is a wasteful number, since it uses less digits than its factorization.

26286480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26286480 is about 5127.0342304299. The cubic root of 26286480 is about 297.3337064664. Note that the first 3 decimals are identical.

The spelling of 26286480 in words is "twenty-six million, two hundred eighty-six thousand, four hundred eighty".