26135920 has 40 divisors (see below), whose sum is σ = 60996096. Its totient is φ = 10414848.

The previous prime is 26135897. The next prime is 26135939. The reversal of 26135920 is 2953162.

26135920 = T₁₆₁ + T₁₆₂ + ... + T₅₄₃.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30214 + ... + 31066.

Almost surely, 2^26135920 is an apocalyptic number.

26135920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26135920 is an abundant number, since it is smaller than the sum of its proper divisors (34860176).

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

26135920 is a wasteful number, since it uses less digits than its factorization.

26135920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 26135920 is about 5112.3301927790. The cubic root of 26135920 is about 296.7649438038.

The spelling of 26135920 in words is "twenty-six million, one hundred thirty-five thousand, nine hundred twenty".