26742120 has 128 divisors (see below), whose sum is σ = 87004800. Its totient is φ = 6552576.

The previous prime is 26742113. The next prime is 26742137. The reversal of 26742120 is 2124762.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84202 + ... + 84518.

It is an arithmetic number, because the mean of its divisors is an integer number (679725).

Almost surely, 2^26742120 is an apocalyptic number.

26742120 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 26742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43502400).

26742120 is an abundant number, since it is smaller than the sum of its proper divisors (60262680).

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

26742120 is a wasteful number, since it uses less digits than its factorization.

26742120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 26742120 is about 5171.2783719309. The cubic root of 26742120 is about 299.0418318597.

Adding to 26742120 its reverse (2124762), we get a palindrome (28866882).

It can be divided in two parts, 26742 and 120, that added together give a palindrome (26862).

The spelling of 26742120 in words is "twenty-six million, seven hundred forty-two thousand, one hundred twenty".