22642848 has 96 divisors (see below), whose sum is σ = 67132800. Its totient is φ = 7423488.

The previous prime is 22642831. The next prime is 22642871. The reversal of 22642848 is 84824622.

It is a happy number.

22642848 is a `hidden beast` number, since 2 + 2 + 642 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22642848² = 1025397131102208, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62893 + ... + 63251.

It is an arithmetic number, because the mean of its divisors is an integer number (699300).

Almost surely, 2^22642848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22642848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566400).

22642848 is an abundant number, since it is smaller than the sum of its proper divisors (44489952).

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

22642848 is a wasteful number, since it uses less digits than its factorization.

22642848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

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

The square root of 22642848 is about 4758.4501678593. The cubic root of 22642848 is about 282.9069937062.

The spelling of 22642848 in words is "twenty-two million, six hundred forty-two thousand, eight hundred forty-eight".