20378160 has 240 divisors, whose sum is σ = 77995008. Its totient is φ = 4723200.

The previous prime is 20378153. The next prime is 20378167. The reversal of 20378160 is 6187302.

It is an interprime number because it is at equal distance from previous prime (20378153) and next prime (20378167).

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

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 not an unprimeable number, because it can be changed into a prime (20378167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245479 + ... + 245561.

Almost surely, 2^20378160 is an apocalyptic number.

20378160 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 20378160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

20378160 is an abundant number, since it is smaller than the sum of its proper divisors (57616848).

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

20378160 is a wasteful number, since it uses less digits than its factorization.

20378160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20378160 is about 4514.2175401724. The cubic root of 20378160 is about 273.1418978142.

It can be divided in two parts, 203781 and 60, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 20378160 in words is "twenty million, three hundred seventy-eight thousand, one hundred sixty".