21462144 has 64 divisors (see below), whose sum is σ = 62203680. Its totient is φ = 6502400.

The previous prime is 21462131. The next prime is 21462149. The reversal of 21462144 is 44126412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21462149) 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 7 ways as a sum of consecutive naturals, for example, 1684 + ... + 6764.

Almost surely, 2^21462144 is an apocalyptic number.

21462144 is a gapful number since it is divisible by the number (24) 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 21462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31101840).

21462144 is an abundant number, since it is smaller than the sum of its proper divisors (40741536).

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

21462144 is a wasteful number, since it uses less digits than its factorization.

21462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5097 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 21462144 is about 4632.7253318106. The cubic root of 21462144 is about 277.9015920691.

Adding to 21462144 its reverse (44126412), we get a palindrome (65588556).

The spelling of 21462144 in words is "twenty-one million, four hundred sixty-two thousand, one hundred forty-four".