26124120 has 160 divisors (see below), whose sum is σ = 95919120. Its totient is φ = 6324480.

The previous prime is 26124101. The next prime is 26124127. The reversal of 26124120 is 2142162.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26124093 and 26124102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26124127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35274 + ... + 36006.

Almost surely, 2^26124120 is an apocalyptic number.

26124120 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 26124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47959560).

26124120 is an abundant number, since it is smaller than the sum of its proper divisors (69795000).

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

26124120 is a wasteful number, since it uses less digits than its factorization.

26124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26124120 is about 5111.1759899264. The cubic root of 26124120 is about 296.7202753491.

Adding to 26124120 its reverse (2142162), we get a palindrome (28266282).

It can be divided in two parts, 26124 and 120, that added together give a square (26244 = 162²).

The spelling of 26124120 in words is "twenty-six million, one hundred twenty-four thousand, one hundred twenty".