26467680 has 96 divisors (see below), whose sum is σ = 84720384. Its totient is φ = 6944256.

The previous prime is 26467667. The next prime is 26467697. The reversal of 26467680 is 8676462.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 31749 + ... + 32571.

It is an arithmetic number, because the mean of its divisors is an integer number (882504).

Almost surely, 2^26467680 is an apocalyptic number.

26467680 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 26467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42360192).

26467680 is an abundant number, since it is smaller than the sum of its proper divisors (58252704).

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

26467680 is a wasteful number, since it uses less digits than its factorization.

26467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 26467680 is about 5144.6749168436. The cubic root of 26467680 is about 298.0153438641.

The spelling of 26467680 in words is "twenty-six million, four hundred sixty-seven thousand, six hundred eighty".