26800632 has 80 divisors (see below), whose sum is σ = 76447800. Its totient is φ = 8769600.

The previous prime is 26800601. The next prime is 26800633. The reversal of 26800632 is 23600862.

26800632 is a `hidden beast` number, since 26 + 8 + 0 + 0 + 632 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 26800596 and 26800605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26800633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37882 + ... + 38582.

Almost surely, 2^26800632 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 26800632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223900).

26800632 is an abundant number, since it is smaller than the sum of its proper divisors (49647168).

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

26800632 is a wasteful number, since it uses less digits than its factorization.

26800632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 26800632 is about 5176.9326825834. The cubic root of 26800632 is about 299.2597750590.

The spelling of 26800632 in words is "twenty-six million, eight hundred thousand, six hundred thirty-two".