20646000 has 240 divisors, whose sum is σ = 76447488. Its totient is φ = 5184000.

The previous prime is 20645981. The next prime is 20646011. The reversal of 20646000 is 64602.

20646000 is a `hidden beast` number, since 2 + 0 + 64 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557982 + ... + 558018.

Almost surely, 2^20646000 is an apocalyptic number.

20646000 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 20646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223744).

20646000 is an abundant number, since it is smaller than the sum of its proper divisors (55801488).

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

20646000 is a wasteful number, since it uses less digits than its factorization.

20646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20646000 is about 4543.7869668372. The cubic root of 20646000 is about 274.3333715554. Note that the first 4 decimals are identical.

The spelling of 20646000 in words is "twenty million, six hundred forty-six thousand".