26030400 has 336 divisors, whose sum is σ = 102047040. Its totient is φ = 5734400.

The previous prime is 26030357. The next prime is 26030401. The reversal of 26030400 is 403062.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 26030400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26030401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897586 + ... + 897614.

Almost surely, 2^26030400 is an apocalyptic number.

26030400 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 26030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51023520).

26030400 is an abundant number, since it is smaller than the sum of its proper divisors (76016640).

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

26030400 is a wasteful number, since it uses less digits than its factorization.

26030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 26030400 is about 5101.9996079968. Note that the first 3 decimals coincide. The cubic root of 26030400 is about 296.3650232548.

Adding to 26030400 its reverse (403062), we get a palindrome (26433462).

The spelling of 26030400 in words is "twenty-six million, thirty thousand, four hundred".