26948160 has 112 divisors (see below), whose sum is σ = 95097600. Its totient is φ = 7183872.

The previous prime is 26948149. The next prime is 26948161. The reversal of 26948160 is 6184962.

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

It is not an unprimeable number, because it can be changed into a prime (26948161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7081 + ... + 10199.

Almost surely, 2^26948160 is an apocalyptic number.

26948160 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 26948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47548800).

26948160 is an abundant number, since it is smaller than the sum of its proper divisors (68149440).

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

26948160 is a wasteful number, since it uses less digits than its factorization.

26948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 26948160 is about 5191.1617196924. The cubic root of 26948160 is about 299.8078769888.

The spelling of 26948160 in words is "twenty-six million, nine hundred forty-eight thousand, one hundred sixty".