26961024 has 64 divisors (see below), whose sum is σ = 72852480. Its totient is φ = 8832000.

The previous prime is 26961023. The next prime is 26961059. The reversal of 26961024 is 42016962.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 26960982 and 26961000.

It is not an unprimeable number, because it can be changed into a prime (26961023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22849 + ... + 23999.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 2^26961024 is an apocalyptic number.

26961024 is a gapful number since it is divisible by the number (24) 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 26961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426240).

26961024 is an abundant number, since it is smaller than the sum of its proper divisors (45891456).

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

26961024 is a wasteful number, since it uses less digits than its factorization.

26961024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 26961024 is about 5192.4006008782. The cubic root of 26961024 is about 299.8555749269.

Adding to 26961024 its reverse (42016962), we get a palindrome (68977986).

The spelling of 26961024 in words is "twenty-six million, nine hundred sixty-one thousand, twenty-four".