26947680 has 96 divisors (see below), whose sum is σ = 87671808. Its totient is φ = 6950400.

The previous prime is 26947663. The next prime is 26947717. The reversal of 26947680 is 8674962.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13975 + ... + 15785.

It is an arithmetic number, because the mean of its divisors is an integer number (913248).

Almost surely, 2^26947680 is an apocalyptic number.

26947680 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 26947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43835904).

26947680 is an abundant number, since it is smaller than the sum of its proper divisors (60724128).

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

26947680 is a wasteful number, since it uses less digits than its factorization.

26947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 26947680 is about 5191.1154870606. The cubic root of 26947680 is about 299.8060969212.

The spelling of 26947680 in words is "twenty-six million, nine hundred forty-seven thousand, six hundred eighty".