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20160000 = 2932547

20160000 has 300 divisors, whose sum is σ = 83092152. Its totient is φ = 4608000.

The previous prime is 20159957. The next prime is 20160001. The reversal of 20160000 is 6102.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20160001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879997 + ... + 2880003.

Almost surely, 220160000 is an apocalyptic number.

20160000 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 20160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41546076).

20160000 is an abundant number, since it is smaller than the sum of its proper divisors (62932152).

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

20160000 is an frugal number, since it uses more digits than its factorization.

20160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 20160000 is about 4489.9888641287. The cubic root of 20160000 is about 272.1636846381.

Adding to 20160000 its reverse (6102), we get a palindrome (20166102).

It can be divided in two parts, 20 and 160000, that multiplied together give a 5-th power (3200000 = 205).

The spelling of 20160000 in words is "twenty million, one hundred sixty thousand".