26553408 has 112 divisors (see below), whose sum is σ = 83880960. Its totient is φ = 7248384.

The previous prime is 26553407. The next prime is 26553413. The reversal of 26553408 is 80435562.

It is a Cunningham number, because it is equal to 5153²-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (26553407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30483 + ... + 31341.

Almost surely, 2^26553408 is an apocalyptic number.

26553408 is a gapful number since it is divisible by the number (28) 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 26553408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41940480).

26553408 is an abundant number, since it is smaller than the sum of its proper divisors (57327552).

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

26553408 is a wasteful number, since it uses less digits than its factorization.

26553408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 26553408 is about 5152.9999029691. Note that the first 4 decimals coincide. The cubic root of 26553408 is about 298.3367512760.

The spelling of 26553408 in words is "twenty-six million, five hundred fifty-three thousand, four hundred eight".