26891920 has 40 divisors (see below), whose sum is σ = 68209920. Its totient is φ = 9778560.

The previous prime is 26891861. The next prime is 26891927. The reversal of 26891920 is 2919862.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×26891920² = 1446350722572800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26891920.

It is not an unprimeable number, because it can be changed into a prime (26891927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14400 + ... + 16159.

It is an arithmetic number, because the mean of its divisors is an integer number (1705248).

Almost surely, 2^26891920 is an apocalyptic number.

26891920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26891920 is an abundant number, since it is smaller than the sum of its proper divisors (41318000).

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

26891920 is a wasteful number, since it uses less digits than its factorization.

26891920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30583 (or 30577 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 26891920 is about 5185.7419912680. The cubic root of 26891920 is about 299.5991683890.

The spelling of 26891920 in words is "twenty-six million, eight hundred ninety-one thousand, nine hundred twenty".