22575840 has 96 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 5159424.

The previous prime is 22575803. The next prime is 22575841. The reversal of 22575840 is 4857522.

22575840 is a nontrivial binomial coefficient, being equal to C(6720, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22575841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 6719.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^22575840 is an apocalyptic number.

22575840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22575840 is the 6719-th triangular number and also the 3360-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

22575840 is an abundant number, since it is smaller than the sum of its proper divisors (58709280).

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

22575840 is a wasteful number, since it uses less digits than its factorization.

22575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 22575840 is about 4751.4040030290. The cubic root of 22575840 is about 282.6276448249.

The spelling of 22575840 in words is "twenty-two million, five hundred seventy-five thousand, eight hundred forty".