26123040 has 96 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 6964992.

The previous prime is 26123029. The next prime is 26123047. The reversal of 26123040 is 4032162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (26123047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297 + ... + 7343.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^26123040 is an apocalyptic number.

26123040 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 26123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

26123040 is an abundant number, since it is smaller than the sum of its proper divisors (65322720).

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

26123040 is a wasteful number, since it uses less digits than its factorization.

26123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 26123040 is about 5111.0703380016. The cubic root of 26123040 is about 296.7161863780.

The spelling of 26123040 in words is "twenty-six million, one hundred twenty-three thousand, forty".