26461248 has 168 divisors, whose sum is σ = 82698336. Its totient is φ = 7434240.

The previous prime is 26461223. The next prime is 26461271. The reversal of 26461248 is 84216462.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

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, 394911 + ... + 394977.

It is an arithmetic number, because the mean of its divisors is an integer number (492252).

Almost surely, 2^26461248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41349168).

26461248 is an abundant number, since it is smaller than the sum of its proper divisors (56237088).

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

26461248 is a wasteful number, since it uses less digits than its factorization.

26461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 26461248 is about 5144.0497664778. The cubic root of 26461248 is about 297.9912013377.

The spelling of 26461248 in words is "twenty-six million, four hundred sixty-one thousand, two hundred forty-eight".