21014000 has 160 divisors (see below), whose sum is σ = 61900800. Its totient is φ = 6739200.

The previous prime is 21013997. The next prime is 21014041. The reversal of 21014000 is 41012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 4.

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, 265961 + ... + 266039.

It is an arithmetic number, because the mean of its divisors is an integer number (386880).

Almost surely, 2^21014000 is an apocalyptic number.

21014000 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 21014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30950400).

21014000 is an abundant number, since it is smaller than the sum of its proper divisors (40886800).

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

21014000 is a wasteful number, since it uses less digits than its factorization.

21014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 21014000 is about 4584.1029656848. The cubic root of 21014000 is about 275.9537134450.

Adding to 21014000 its reverse (41012), we get a palindrome (21055012).

The spelling of 21014000 in words is "twenty-one million, fourteen thousand".