20953824 has 48 divisors (see below), whose sum is σ = 55375488. Its totient is φ = 6937472.

The previous prime is 20953819. The next prime is 20953831. The reversal of 20953824 is 42835902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15379 + ... + 16685.

It is an arithmetic number, because the mean of its divisors is an integer number (1153656).

Almost surely, 2^20953824 is an apocalyptic number.

20953824 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 20953824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27687744).

20953824 is an abundant number, since it is smaller than the sum of its proper divisors (34421664).

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

20953824 is a wasteful number, since it uses less digits than its factorization.

20953824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 20953824 is about 4577.5347076784. The cubic root of 20953824 is about 275.6900532377.

The spelling of 20953824 in words is "twenty million, nine hundred fifty-three thousand, eight hundred twenty-four".