26930400 has 216 divisors, whose sum is σ = 102415320. Its totient is φ = 6128640.

The previous prime is 26930377. The next prime is 26930417. The reversal of 26930400 is 403962.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 35 ways as a sum of consecutive naturals, for example, 117486 + ... + 117714.

It is an arithmetic number, because the mean of its divisors is an integer number (474145).

Almost surely, 2^26930400 is an apocalyptic number.

26930400 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 26930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51207660).

26930400 is an abundant number, since it is smaller than the sum of its proper divisors (75484920).

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

26930400 is a wasteful number, since it uses less digits than its factorization.

26930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 26930400 is about 5189.4508379982. The cubic root of 26930400 is about 299.7420004065.

The spelling of 26930400 in words is "twenty-six million, nine hundred thirty thousand, four hundred".