22615120 has 80 divisors (see below), whose sum is σ = 59281920. Its totient is φ = 7948800.

The previous prime is 22615091. The next prime is 22615127. The reversal of 22615120 is 2151622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22615120² = 1022887305228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22615127) 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, 26866 + ... + 27694.

It is an arithmetic number, because the mean of its divisors is an integer number (741024).

Almost surely, 2^22615120 is an apocalyptic number.

22615120 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 22615120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29640960).

22615120 is an abundant number, since it is smaller than the sum of its proper divisors (36666800).

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

22615120 is a wasteful number, since it uses less digits than its factorization.

22615120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 22615120 is about 4755.5357216617. The cubic root of 22615120 is about 282.7914656985.

Adding to 22615120 its reverse (2151622), we get a palindrome (24766742).

It can be divided in two parts, 2261 and 5120, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 22615120 in words is "twenty-two million, six hundred fifteen thousand, one hundred twenty".