22959120 has 80 divisors (see below), whose sum is σ = 71638272. Its totient is φ = 6082560.

The previous prime is 22959107. The next prime is 22959133. The reversal of 22959120 is 2195922.

It is an interprime number because it is at equal distance from previous prime (22959107) and next prime (22959133).

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64864 + ... + 65216.

Almost surely, 2^22959120 is an apocalyptic number.

22959120 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 22959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35819136).

22959120 is an abundant number, since it is smaller than the sum of its proper divisors (48679152).

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

22959120 is a wasteful number, since it uses less digits than its factorization.

22959120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 22959120 is about 4791.5675931787. The cubic root of 22959120 is about 284.2181092483.

The spelling of 22959120 in words is "twenty-two million, nine hundred fifty-nine thousand, one hundred twenty".