26963440 has 80 divisors (see below), whose sum is σ = 72584640. Its totient is φ = 9123840.

The previous prime is 26963437. The next prime is 26963449. The reversal of 26963440 is 4436962.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 26963396 and 26963405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26963449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49570 + ... + 50110.

It is an arithmetic number, because the mean of its divisors is an integer number (907308).

Almost surely, 2^26963440 is an apocalyptic number.

26963440 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 26963440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36292320).

26963440 is an abundant number, since it is smaller than the sum of its proper divisors (45621200).

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

26963440 is a wasteful number, since it uses less digits than its factorization.

26963440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 26963440 is about 5192.6332433554. The cubic root of 26963440 is about 299.8645314294.

The spelling of 26963440 in words is "twenty-six million, nine hundred sixty-three thousand, four hundred forty".