26117680 has 40 divisors (see below), whose sum is σ = 61192512. Its totient is φ = 10366464.

The previous prime is 26117639. The next prime is 26117687. The reversal of 26117680 is 8671162.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (26117687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9769 + ... + 12151.

Almost surely, 2^26117680 is an apocalyptic number.

26117680 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 26117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30596256).

26117680 is an abundant number, since it is smaller than the sum of its proper divisors (35074832).

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

26117680 is a wasteful number, since it uses less digits than its factorization.

26117680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 26117680 is about 5110.5459590928. The cubic root of 26117680 is about 296.6958912982.

The spelling of 26117680 in words is "twenty-six million, one hundred seventeen thousand, six hundred eighty".