26631120 has 80 divisors (see below), whose sum is σ = 84816000. Its totient is φ = 6907392.

The previous prime is 26631119. The next prime is 26631133. The reversal of 26631120 is 2113662.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7381 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200).

Almost surely, 2^26631120 is an apocalyptic number.

26631120 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 26631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408000).

26631120 is an abundant number, since it is smaller than the sum of its proper divisors (58184880).

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

26631120 is a wasteful number, since it uses less digits than its factorization.

26631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 26631120 is about 5160.5348560009. The cubic root of 26631120 is about 298.6275082413.

Adding to 26631120 its reverse (2113662), we get a palindrome (28744782).

The spelling of 26631120 in words is "twenty-six million, six hundred thirty-one thousand, one hundred twenty".