26681160 has 256 divisors, whose sum is σ = 97977600. Its totient is φ = 5734400.

The previous prime is 26681159. The next prime is 26681167. The reversal of 26681160 is 6118662.

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

It is not an unprimeable number, because it can be changed into a prime (26681167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 650740 + ... + 650780.

It is an arithmetic number, because the mean of its divisors is an integer number (382725).

Almost surely, 2^26681160 is an apocalyptic number.

26681160 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 26681160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

26681160 is an abundant number, since it is smaller than the sum of its proper divisors (71296440).

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

26681160 is a wasteful number, since it uses less digits than its factorization.

26681160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 26681160 is about 5165.3809152859. The cubic root of 26681160 is about 298.8144320450.

It can be divided in two parts, 2668 and 1160, that added together give a triangular number (3828 = T₈₇).

The spelling of 26681160 in words is "twenty-six million, six hundred eighty-one thousand, one hundred sixty".