26995680 has 120 divisors (see below), whose sum is σ = 95317992. Its totient is φ = 7195392.

The previous prime is 26995669. The next prime is 26995687. The reversal of 26995680 is 8659962.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26995687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11919 + ... + 14001.

Almost surely, 2^26995680 is an apocalyptic number.

26995680 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 26995680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47658996).

26995680 is an abundant number, since it is smaller than the sum of its proper divisors (68322312).

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

26995680 is a wasteful number, since it uses less digits than its factorization.

26995680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 26995680 is about 5195.7367138838. The cubic root of 26995680 is about 299.9839991466.

The spelling of 26995680 in words is "twenty-six million, nine hundred ninety-five thousand, six hundred eighty".