26454960 has 240 divisors, whose sum is σ = 105618240. Its totient is φ = 5806080.

The previous prime is 26454943. The next prime is 26454977. The reversal of 26454960 is 6945462.

26454960 is a `hidden beast` number, since 2 + 645 + 4 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26454943) and next prime (26454977).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146070 + ... + 146250.

It is an arithmetic number, because the mean of its divisors is an integer number (440076).

Almost surely, 2^26454960 is an apocalyptic number.

26454960 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 26454960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).

26454960 is an abundant number, since it is smaller than the sum of its proper divisors (79163280).

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

26454960 is a wasteful number, since it uses less digits than its factorization.

26454960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 26454960 is about 5143.4385385654. The cubic root of 26454960 is about 297.9675955336.

The spelling of 26454960 in words is "twenty-six million, four hundred fifty-four thousand, nine hundred sixty".