26790720 has 224 divisors, whose sum is σ = 96560640. Its totient is φ = 6236160.

The previous prime is 26790719. The next prime is 26790733. The reversal of 26790720 is 2709762.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454051 + ... + 454109.

Almost surely, 2^26790720 is an apocalyptic number.

26790720 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 26790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280320).

26790720 is an abundant number, since it is smaller than the sum of its proper divisors (69769920).

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

26790720 is a wasteful number, since it uses less digits than its factorization.

26790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 26790720 is about 5175.9752704201. The cubic root of 26790720 is about 299.2228775628. Note that the first 3 decimals are identical.

The spelling of 26790720 in words is "twenty-six million, seven hundred ninety thousand, seven hundred twenty".