22667040 has 288 divisors, whose sum is σ = 89159616. Its totient is φ = 5391360.

The previous prime is 22667023. The next prime is 22667041. The reversal of 22667040 is 4076622.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22666995 and 22667013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22667041) by changing a digit.

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, 427654 + ... + 427706.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 2^22667040 is an apocalyptic number.

22667040 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 22667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808).

22667040 is an abundant number, since it is smaller than the sum of its proper divisors (66492576).

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

22667040 is a wasteful number, since it uses less digits than its factorization.

22667040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 22667040 is about 4760.9914933761. The cubic root of 22667040 is about 283.0077120433.

The spelling of 22667040 in words is "twenty-two million, six hundred sixty-seven thousand, forty".