26913920 has 64 divisors (see below), whose sum is σ = 70208640. Its totient is φ = 9784320.

The previous prime is 26913889. The next prime is 26913923. The reversal of 26913920 is 2931962.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (26913923) 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, 5129 + ... + 8951.

It is an arithmetic number, because the mean of its divisors is an integer number (1097010).

Almost surely, 2^26913920 is an apocalyptic number.

26913920 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 26913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35104320).

26913920 is an abundant number, since it is smaller than the sum of its proper divisors (43294720).

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

26913920 is a wasteful number, since it uses less digits than its factorization.

26913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 26913920 is about 5187.8627584006. The cubic root of 26913920 is about 299.6808457742.

The spelling of 26913920 in words is "twenty-six million, nine hundred thirteen thousand, nine hundred twenty".