26214000 has 160 divisors (see below), whose sum is σ = 89833536. Its totient is φ = 6553600.

The previous prime is 26213989. The next prime is 26214011. The reversal of 26214000 is 41262.

It is an interprime number because it is at equal distance from previous prime (26213989) and next prime (26214011).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101872 + ... + 102128.

Almost surely, 2^26214000 is an apocalyptic number.

26214000 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 26214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44916768).

26214000 is an abundant number, since it is smaller than the sum of its proper divisors (63619536).

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

26214000 is a wasteful number, since it uses less digits than its factorization.

26214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 26214000 is about 5119.9609373510. The cubic root of 26214000 is about 297.0601744097.

Adding to 26214000 its reverse (41262), we get a palindrome (26255262).

The spelling of 26214000 in words is "twenty-six million, two hundred fourteen thousand".