26668400 has 180 divisors, whose sum is σ = 76687800. Its totient is φ = 8870400.

The previous prime is 26668399. The next prime is 26668423. The reversal of 26668400 is 486662.

It is a happy number.

It is a super-2 number, since 2×26668400² = 1422407117120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 919586 + ... + 919614.

Almost surely, 2^26668400 is an apocalyptic number.

26668400 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 26668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38343900).

26668400 is an abundant number, since it is smaller than the sum of its proper divisors (50019400).

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

26668400 is a wasteful number, since it uses less digits than its factorization.

26668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 26668400 is about 5164.1456214944. The cubic root of 26668400 is about 298.7667894371.

The spelling of 26668400 in words is "twenty-six million, six hundred sixty-eight thousand, four hundred".