21496400 has 60 divisors (see below), whose sum is σ = 52551324. Its totient is φ = 8448000.

The previous prime is 21496399. The next prime is 21496417. The reversal of 21496400 is 469412.

It can be written as a sum of positive squares in 6 ways, for example, as 7268416 + 14227984 = 2696^2 + 3772^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21496400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23960 + ... + 24840.

Almost surely, 2^21496400 is an apocalyptic number.

21496400 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 21496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26275662).

21496400 is an abundant number, since it is smaller than the sum of its proper divisors (31054924).

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

21496400 is a wasteful number, since it uses less digits than its factorization.

21496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 21496400 is about 4636.4210335128. The cubic root of 21496400 is about 278.0493675590.

The spelling of 21496400 in words is "twenty-one million, four hundred ninety-six thousand, four hundred".