26730480 has 120 divisors (see below), whose sum is σ = 96435792. Its totient is φ = 6107136.

The previous prime is 26730479. The next prime is 26730493. The reversal of 26730480 is 8403762.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×26730480² = 1429037122060800, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10624 + ... + 12896.

Almost surely, 2^26730480 is an apocalyptic number.

26730480 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 26730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48217896).

26730480 is an abundant number, since it is smaller than the sum of its proper divisors (69705312).

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

26730480 is a wasteful number, since it uses less digits than its factorization.

26730480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2290 counting only the distinct ones).

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

The square root of 26730480 is about 5170.1528023841. The cubic root of 26730480 is about 298.9984377423.

The spelling of 26730480 in words is "twenty-six million, seven hundred thirty thousand, four hundred eighty".