21464160 has 96 divisors (see below), whose sum is σ = 68457312. Its totient is φ = 5652480.

The previous prime is 21464159. The next prime is 21464161. The reversal of 21464160 is 6146412.

It is an interprime number because it is at equal distance from previous prime (21464159) and next prime (21464161).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21464160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21464161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46330 + ... + 46790.

It is an arithmetic number, because the mean of its divisors is an integer number (713097).

Almost surely, 2^21464160 is an apocalyptic number.

21464160 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 21464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34228656).

21464160 is an abundant number, since it is smaller than the sum of its proper divisors (46993152).

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

21464160 is a wasteful number, since it uses less digits than its factorization.

21464160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21464160 is about 4632.9429092101. The cubic root of 21464160 is about 277.9102931580.

The spelling of 21464160 in words is "twenty-one million, four hundred sixty-four thousand, one hundred sixty".