26948400 has 120 divisors (see below), whose sum is σ = 91471824. Its totient is φ = 6758400.

The previous prime is 26948377. The next prime is 26948407. The reversal of 26948400 is 484962.

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

It is not an unprimeable number, because it can be changed into a prime (26948407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19740 + ... + 21060.

Almost surely, 2^26948400 is an apocalyptic number.

26948400 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 26948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45735912).

26948400 is an abundant number, since it is smaller than the sum of its proper divisors (64523424).

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

26948400 is a wasteful number, since it uses less digits than its factorization.

26948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26948400 is about 5191.1848358539. The cubic root of 26948400 is about 299.8087670146.

The spelling of 26948400 in words is "twenty-six million, nine hundred forty-eight thousand, four hundred".