26832720 has 80 divisors (see below), whose sum is σ = 86815872. Its totient is φ = 6842880.

The previous prime is 26832719. The next prime is 26832739. The reversal of 26832720 is 2723862.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3090 + ... + 7950.

Almost surely, 2^26832720 is an apocalyptic number.

26832720 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 26832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43407936).

26832720 is an abundant number, since it is smaller than the sum of its proper divisors (59983152).

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

26832720 is a wasteful number, since it uses less digits than its factorization.

26832720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 26832720 is about 5180.0308879388. The cubic root of 26832720 is about 299.3791605252.

The spelling of 26832720 in words is "twenty-six million, eight hundred thirty-two thousand, seven hundred twenty".