22752840 has 96 divisors (see below), whose sum is σ = 75075840. Its totient is φ = 5512320.

The previous prime is 22752833. The next prime is 22752857. The reversal of 22752840 is 4825722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22752798 and 22752807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13737 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (782040).

Almost surely, 2^22752840 is an apocalyptic number.

22752840 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 22752840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537920).

22752840 is an abundant number, since it is smaller than the sum of its proper divisors (52323000).

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

22752840 is a wasteful number, since it uses less digits than its factorization.

22752840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 22752840 is about 4769.9937106877. The cubic root of 22752840 is about 283.3643457019.

It can be divided in two parts, 2275 and 2840, that added together give a palindrome (5115).

The spelling of 22752840 in words is "twenty-two million, seven hundred fifty-two thousand, eight hundred forty".