26961000 has 256 divisors, whose sum is σ = 98841600. Its totient is φ = 6048000.

The previous prime is 26960959. The next prime is 26961007. The reversal of 26961000 is 16962.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26961007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626979 + ... + 627021.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 2^26961000 is an apocalyptic number.

26961000 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 26961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49420800).

26961000 is an abundant number, since it is smaller than the sum of its proper divisors (71880600).

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

26961000 is a wasteful number, since it uses less digits than its factorization.

26961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 26961000 is about 5192.3982898079. The cubic root of 26961000 is about 299.8554859524.

Adding to 26961000 its reverse (16962), we get a palindrome (26977962).

The spelling of 26961000 in words is "twenty-six million, nine hundred sixty-one thousand".