26006400 has 384 divisors, whose sum is σ = 111302400. Its totient is φ = 5806080.

The previous prime is 26006381. The next prime is 26006401. The reversal of 26006400 is 460062.

26006400 is a `hidden beast` number, since 2 + 600 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26006401) 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, 604779 + ... + 604821.

It is an arithmetic number, because the mean of its divisors is an integer number (289850).

Almost surely, 2^26006400 is an apocalyptic number.

26006400 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 26006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55651200).

26006400 is an abundant number, since it is smaller than the sum of its proper divisors (85296000).

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

26006400 is a wasteful number, since it uses less digits than its factorization.

26006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26006400 is about 5099.6470466102. The cubic root of 26006400 is about 296.2739125066.

Adding to 26006400 its reverse (460062), we get a palindrome (26466462).

The spelling of 26006400 in words is "twenty-six million, six thousand, four hundred".