21074000 has 80 divisors (see below), whose sum is σ = 52402896. Its totient is φ = 8192000.

The previous prime is 21073991. The next prime is 21074023. The reversal of 21074000 is 47012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5895184 + 15178816 = 2428^2 + 3896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21074000² = 888226952000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81872 + ... + 82128.

Almost surely, 2^21074000 is an apocalyptic number.

21074000 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 21074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26201448).

21074000 is an abundant number, since it is smaller than the sum of its proper divisors (31328896).

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

21074000 is a wasteful number, since it uses less digits than its factorization.

21074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 21074000 is about 4590.6426565351. The cubic root of 21074000 is about 276.2161018444.

The spelling of 21074000 in words is "twenty-one million, seventy-four thousand".