22964480 has 144 divisors (see below), whose sum is σ = 68874624. Its totient is φ = 7127040.

The previous prime is 22964477. The next prime is 22964489. The reversal of 22964480 is 8446922.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22964480.

It is not an unprimeable number, because it can be changed into a prime (22964489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98444 + ... + 98676.

It is an arithmetic number, because the mean of its divisors is an integer number (478296).

Almost surely, 2^22964480 is an apocalyptic number.

22964480 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 22964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34437312).

22964480 is an abundant number, since it is smaller than the sum of its proper divisors (45910144).

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

22964480 is a wasteful number, since it uses less digits than its factorization.

22964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 22964480 is about 4792.1268764506. The cubic root of 22964480 is about 284.2402252314.

It can be divided in two parts, 2296 and 4480, that added together give a palindrome (6776).

The spelling of 22964480 in words is "twenty-two million, nine hundred sixty-four thousand, four hundred eighty".