26904960 has 192 divisors, whose sum is σ = 96904080. Its totient is φ = 7133184.

The previous prime is 26904959. The next prime is 26905037. The reversal of 26904960 is 6940962.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 9.

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, 155434 + ... + 155606.

Almost surely, 2^26904960 is an apocalyptic number.

26904960 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 26904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48452040).

26904960 is an abundant number, since it is smaller than the sum of its proper divisors (69999120).

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

26904960 is an equidigital number, since it uses as much as digits as its factorization.

26904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 26904960 is about 5186.9991324464. Note that the first 3 decimals coincide. The cubic root of 26904960 is about 299.6475861771.

The spelling of 26904960 in words is "twenty-six million, nine hundred four thousand, nine hundred sixty".