361089820 has 96 divisors (see below), whose sum is σ = 952560000. Its totient is φ = 114250752.

The previous prime is 361089793. The next prime is 361089823. The reversal of 361089820 is 28980163.

It is a self number, because there is not a number n which added to its sum of digits gives 361089820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361089823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87156 + ... + 91204.

It is an arithmetic number, because the mean of its divisors is an integer number (9922500).

Almost surely, 2^361089820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361089820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280000).

361089820 is an abundant number, since it is smaller than the sum of its proper divisors (591470180).

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

361089820 is a wasteful number, since it uses less digits than its factorization.

361089820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 361089820 is about 19002.3635372024. The cubic root of 361089820 is about 712.0957846770.

The spelling of 361089820 in words is "three hundred sixty-one million, eighty-nine thousand, eight hundred twenty".