26771040 has 96 divisors (see below), whose sum is σ = 93713760. Its totient is φ = 7137792.

The previous prime is 26771023. The next prime is 26771077. The reversal of 26771040 is 4017762.

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 (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 26770995 and 26771013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222 + ... + 7418.

It is an arithmetic number, because the mean of its divisors is an integer number (976185).

Almost surely, 2^26771040 is an apocalyptic number.

26771040 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 26771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46856880).

26771040 is an abundant number, since it is smaller than the sum of its proper divisors (66942720).

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

26771040 is a wasteful number, since it uses less digits than its factorization.

26771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6221 (or 6207 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 26771040 is about 5174.0738301652. The cubic root of 26771040 is about 299.1495916298.

The spelling of 26771040 in words is "twenty-six million, seven hundred seventy-one thousand, forty".