21874700 has 72 divisors (see below), whose sum is σ = 51819600. Its totient is φ = 7983360.

The previous prime is 21874691. The next prime is 21874709. The reversal of 21874700 is 747812.

It is an interprime number because it is at equal distance from previous prime (21874691) and next prime (21874709).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (21874709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54902 + ... + 55298.

Almost surely, 2^21874700 is an apocalyptic number.

21874700 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 21874700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25909800).

21874700 is an abundant number, since it is smaller than the sum of its proper divisors (29944900).

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

21874700 is a wasteful number, since it uses less digits than its factorization.

21874700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 21874700 is about 4677.0396620084. The cubic root of 21874700 is about 279.6709570129.

The spelling of 21874700 in words is "twenty-one million, eight hundred seventy-four thousand, seven hundred".