26481600 has 168 divisors, whose sum is σ = 96692720. Its totient is φ = 7050240.

The previous prime is 26481569. The next prime is 26481617. The reversal of 26481600 is 618462.

26481600 is a `hidden beast` number, since 2 + 648 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42894 + ... + 43506.

Almost surely, 2^26481600 is an apocalyptic number.

26481600 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 26481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48346360).

26481600 is an abundant number, since it is smaller than the sum of its proper divisors (70211120).

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

26481600 is a wasteful number, since it uses less digits than its factorization.

26481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26481600 is about 5146.0275941740. The cubic root of 26481600 is about 298.0675792263.

The spelling of 26481600 in words is "twenty-six million, four hundred eighty-one thousand, six hundred".