22842864 has 240 divisors, whose sum is σ = 79161600. Its totient is φ = 6272640.

The previous prime is 22842857. The next prime is 22842881. The reversal of 22842864 is 46824822.

It is a happy number.

22842864 is a `hidden beast` number, since 228 + 428 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993157 + ... + 993179.

It is an arithmetic number, because the mean of its divisors is an integer number (329840).

Almost surely, 2^22842864 is an apocalyptic number.

22842864 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 22842864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39580800).

22842864 is an abundant number, since it is smaller than the sum of its proper divisors (56318736).

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

22842864 is a wasteful number, since it uses less digits than its factorization.

22842864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 22842864 is about 4779.4208854212. The cubic root of 22842864 is about 283.7375741549.

The spelling of 22842864 in words is "twenty-two million, eight hundred forty-two thousand, eight hundred sixty-four".