22846464 has 132 divisors (see below), whose sum is σ = 68762824. Its totient is φ = 7299072.

The previous prime is 22846463. The next prime is 22846477. The reversal of 22846464 is 46464822.

It is a happy number.

22846464 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 646 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22846463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340959 + ... + 341025.

Almost surely, 2^22846464 is an apocalyptic number.

22846464 is a gapful number since it is divisible by the number (24) 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 22846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34381412).

22846464 is an abundant number, since it is smaller than the sum of its proper divisors (45916360).

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

22846464 is a wasteful number, since it uses less digits than its factorization.

22846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 22846464 is about 4779.7974852498. The cubic root of 22846464 is about 283.7524789061.

The spelling of 22846464 in words is "twenty-two million, eight hundred forty-six thousand, four hundred sixty-four".