284161720 has 64 divisors (see below), whose sum is σ = 696276000. Its totient is φ = 103961088.

The previous prime is 284161699. The next prime is 284161721. The reversal of 284161720 is 27161482.

284161720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×284161720² = 161495766226716800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284161721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15594 + ... + 28486.

Almost surely, 2^284161720 is an apocalyptic number.

284161720 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 284161720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348138000).

284161720 is an abundant number, since it is smaller than the sum of its proper divisors (412114280).

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

284161720 is a wasteful number, since it uses less digits than its factorization.

284161720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12952 (or 12948 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 284161720 is about 16857.0970217295. The cubic root of 284161720 is about 657.4385876609.

The spelling of 284161720 in words is "two hundred eighty-four million, one hundred sixty-one thousand, seven hundred twenty".