26763168 has 144 divisors (see below), whose sum is σ = 80269056. Its totient is φ = 7772160.

The previous prime is 26763127. The next prime is 26763179. The reversal of 26763168 is 86136762.

It is a super-2 number, since 2×26763168² = 1432534322792448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 863313 + ... + 863343.

It is an arithmetic number, because the mean of its divisors is an integer number (557424).

Almost surely, 2^26763168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26763168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40134528).

26763168 is an abundant number, since it is smaller than the sum of its proper divisors (53505888).

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

26763168 is a wasteful number, since it uses less digits than its factorization.

26763168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 26763168 is about 5173.3130583795. The cubic root of 26763168 is about 299.1202672001.

The spelling of 26763168 in words is "twenty-six million, seven hundred sixty-three thousand, one hundred sixty-eight".