364122220 has 96 divisors (see below), whose sum is σ = 967841280. Its totient is φ = 111767040.

The previous prime is 364122193. The next prime is 364122247. The reversal of 364122220 is 22221463.

It is an interprime number because it is at equal distance from previous prime (364122193) and next prime (364122247).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 364122191 and 364122200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101416 + ... + 104944.

It is an arithmetic number, because the mean of its divisors is an integer number (10081680).

Almost surely, 2^364122220 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 364122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483920640).

364122220 is an abundant number, since it is smaller than the sum of its proper divisors (603719060).

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

364122220 is a wasteful number, since it uses less digits than its factorization.

364122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 364122220 is about 19081.9867938326. The cubic root of 364122220 is about 714.0836027405.

Adding to 364122220 its reverse (22221463), we get a palindrome (386343683).

The spelling of 364122220 in words is "three hundred sixty-four million, one hundred twenty-two thousand, two hundred twenty".