22892640 has 96 divisors (see below), whose sum is σ = 74118240. Its totient is φ = 5935104.

The previous prime is 22892621. The next prime is 22892647. The reversal of 22892640 is 4629822.

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 (22892647) 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, 17116 + ... + 18404.

It is an arithmetic number, because the mean of its divisors is an integer number (772065).

Almost surely, 2^22892640 is an apocalyptic number.

22892640 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 22892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37059120).

22892640 is an abundant number, since it is smaller than the sum of its proper divisors (51225600).

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

22892640 is a wasteful number, since it uses less digits than its factorization.

22892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 22892640 is about 4784.6253771847. The cubic root of 22892640 is about 283.9435184907.

It can be divided in two parts, 22892 and 640, that added together give a palindrome (23532).

The spelling of 22892640 in words is "twenty-two million, eight hundred ninety-two thousand, six hundred forty".