21896400 has 120 divisors (see below), whose sum is σ = 71406144. Its totient is φ = 5734400.

The previous prime is 21896393. The next prime is 21896401. The reversal of 21896400 is 469812.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21896401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85072 + ... + 85328.

Almost surely, 2^21896400 is an apocalyptic number.

21896400 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 21896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35703072).

21896400 is an abundant number, since it is smaller than the sum of its proper divisors (49509744).

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

21896400 is a wasteful number, since it uses less digits than its factorization.

21896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 21896400 is about 4679.3589304519. The cubic root of 21896400 is about 279.7634055809.

The spelling of 21896400 in words is "twenty-one million, eight hundred ninety-six thousand, four hundred".