20219264 has 64 divisors (see below), whose sum is σ = 44982000. Its totient is φ = 8988672.

The previous prime is 20219263. The next prime is 20219281. The reversal of 20219264 is 46291202.

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 (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20219263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48047 + ... + 48465.

Almost surely, 2^20219264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22491000).

20219264 is an abundant number, since it is smaller than the sum of its proper divisors (24762736).

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

20219264 is a wasteful number, since it uses less digits than its factorization.

20219264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

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

The square root of 20219264 is about 4496.5835920174. The cubic root of 20219264 is about 272.4301153451.

The spelling of 20219264 in words is "twenty million, two hundred nineteen thousand, two hundred sixty-four".