22894560 has 144 divisors (see below), whose sum is σ = 84206304. Its totient is φ = 5630976.

The previous prime is 22894559. The next prime is 22894567. The reversal of 22894560 is 6549822.

It is a happy number.

22894560 is a `hidden beast` number, since 2 + 2 + 8 + 94 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (22894567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18109 + ... + 19331.

It is an arithmetic number, because the mean of its divisors is an integer number (584766).

Almost surely, 2^22894560 is an apocalyptic number.

22894560 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 22894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103152).

22894560 is an abundant number, since it is smaller than the sum of its proper divisors (61311744).

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

22894560 is a wasteful number, since it uses less digits than its factorization.

22894560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22894560 is about 4784.8260156457. The cubic root of 22894560 is about 283.9514563595.

The spelling of 22894560 in words is "twenty-two million, eight hundred ninety-four thousand, five hundred sixty".