22872960 has 288 divisors, whose sum is σ = 90937080. Its totient is φ = 5253120.

The previous prime is 22872959. The next prime is 22872961. The reversal of 22872960 is 6927822.

It is an interprime number because it is at equal distance from previous prime (22872959) and next prime (22872961).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22872961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1203831 + ... + 1203849.

Almost surely, 2^22872960 is an apocalyptic number.

22872960 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 22872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45468540).

22872960 is an abundant number, since it is smaller than the sum of its proper divisors (68064120).

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

22872960 is a wasteful number, since it uses less digits than its factorization.

22872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 22872960 is about 4782.5683476559. The cubic root of 22872960 is about 283.8621297346.

It can be divided in two parts, 22872 and 960, that added together give a palindrome (23832).

The spelling of 22872960 in words is "twenty-two million, eight hundred seventy-two thousand, nine hundred sixty".