26806416 has 240 divisors, whose sum is σ = 95243904. Its totient is φ = 6303744.

The previous prime is 26806361. The next prime is 26806453. The reversal of 26806416 is 61460862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1410855 + ... + 1410873.

Almost surely, 2^26806416 is an apocalyptic number.

26806416 is a gapful number since it is divisible by the number (26) 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 26806416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621952).

26806416 is an abundant number, since it is smaller than the sum of its proper divisors (68437488).

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

26806416 is a wasteful number, since it uses less digits than its factorization.

26806416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26806416 is about 5177.4912843963. The cubic root of 26806416 is about 299.2813018403.

The spelling of 26806416 in words is "twenty-six million, eight hundred six thousand, four hundred sixteen".