22870320 has 80 divisors (see below), whose sum is σ = 77352192. Its totient is φ = 5543680.

The previous prime is 22870313. The next prime is 22870327. The reversal of 22870320 is 2307822.

It is an interprime number because it is at equal distance from previous prime (22870313) and next prime (22870327).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22870327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692 + ... + 6971.

Almost surely, 2^22870320 is an apocalyptic number.

22870320 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 22870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38676096).

22870320 is an abundant number, since it is smaller than the sum of its proper divisors (54481872).

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

22870320 is a wasteful number, since it uses less digits than its factorization.

22870320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 22870320 is about 4782.2923373629. The cubic root of 22870320 is about 283.8512081798.

The spelling of 22870320 in words is "twenty-two million, eight hundred seventy thousand, three hundred twenty".