26770920 has 128 divisors (see below), whose sum is σ = 92845440. Its totient is φ = 6103040.

The previous prime is 26770889. The next prime is 26770963. The reversal of 26770920 is 2907762.

It is a super-3 number, since 3×26770920³ (a number of 23 digits) contains 333 as substring.

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

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, 21844 + ... + 23036.

It is an arithmetic number, because the mean of its divisors is an integer number (725355).

Almost surely, 2^26770920 is an apocalyptic number.

26770920 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 26770920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46422720).

26770920 is an abundant number, since it is smaller than the sum of its proper divisors (66074520).

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

26770920 is a wasteful number, since it uses less digits than its factorization.

26770920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1231 counting only the distinct ones).

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

The square root of 26770920 is about 5174.0622338739. The cubic root of 26770920 is about 299.1491446542.

The spelling of 26770920 in words is "twenty-six million, seven hundred seventy thousand, nine hundred twenty".