20864000 has 88 divisors (see below), whose sum is σ = 52370448. Its totient is φ = 8294400.

The previous prime is 20863991. The next prime is 20864009. The reversal of 20864000 is 46802.

It is an interprime number because it is at equal distance from previous prime (20863991) and next prime (20864009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20864009) 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, 127919 + ... + 128081.

Almost surely, 2^20864000 is an apocalyptic number.

20864000 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 20864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26185224).

20864000 is an abundant number, since it is smaller than the sum of its proper divisors (31506448).

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

20864000 is an equidigital number, since it uses as much as digits as its factorization.

20864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20864000 is about 4567.7127755585. The cubic root of 20864000 is about 275.2955500191.

The spelling of 20864000 in words is "twenty million, eight hundred sixty-four thousand".