22661664 has 48 divisors (see below), whose sum is σ = 60510240. Its totient is φ = 7424000.

The previous prime is 22661657. The next prime is 22661671. The reversal of 22661664 is 46616622.

It is an interprime number because it is at equal distance from previous prime (22661657) and next prime (22661671).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 3664 + ... + 7664.

It is an arithmetic number, because the mean of its divisors is an integer number (1260630).

Almost surely, 2^22661664 is an apocalyptic number.

22661664 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 22661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30255120).

22661664 is an abundant number, since it is smaller than the sum of its proper divisors (37848576).

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

22661664 is a wasteful number, since it uses less digits than its factorization.

22661664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4065 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 22661664 is about 4760.4268716156. The cubic root of 22661664 is about 282.9853363860.

The spelling of 22661664 in words is "twenty-two million, six hundred sixty-one thousand, six hundred sixty-four".