26820720 has 100 divisors (see below), whose sum is σ = 93174840. Its totient is φ = 7150464.

The previous prime is 26820719. The next prime is 26820763. The reversal of 26820720 is 2702862.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4411 + ... + 8549.

Almost surely, 2^26820720 is an apocalyptic number.

26820720 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 26820720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46587420).

26820720 is an abundant number, since it is smaller than the sum of its proper divisors (66354120).

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

26820720 is a wasteful number, since it uses less digits than its factorization.

26820720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 26820720 is about 5178.8724641567. The cubic root of 26820720 is about 299.3345249012.

The spelling of 26820720 in words is "twenty-six million, eight hundred twenty thousand, seven hundred twenty".