20468700 has 270 divisors, whose sum is σ = 80031336. Its totient is φ = 4432320.

The previous prime is 20468671. The next prime is 20468729. The reversal of 20468700 is 786402.

It is an interprime number because it is at equal distance from previous prime (20468671) and next prime (20468729).

It is a tau number, because it is divible by the number of its divisors (270).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1077291 + ... + 1077309.

Almost surely, 2^20468700 is an apocalyptic number.

20468700 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 20468700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40015668).

20468700 is an abundant number, since it is smaller than the sum of its proper divisors (59562636).

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

20468700 is a wasteful number, since it uses less digits than its factorization.

20468700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20468700 is about 4524.2347419204. The cubic root of 20468700 is about 273.5458226060.

The spelling of 20468700 in words is "twenty million, four hundred sixty-eight thousand, seven hundred".