26137920 has 112 divisors (see below), whose sum is σ = 87416640. Its totient is φ = 6598656.

The previous prime is 26137897. The next prime is 26137921. The reversal of 26137920 is 2973162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26137921) 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 15 ways as a sum of consecutive naturals, for example, 17524 + ... + 18956.

Almost surely, 2^26137920 is an apocalyptic number.

26137920 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 26137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43708320).

26137920 is an abundant number, since it is smaller than the sum of its proper divisors (61278720).

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

26137920 is a wasteful number, since it uses less digits than its factorization.

26137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 26137920 is about 5112.5257945560. The cubic root of 26137920 is about 296.7725133958.

The spelling of 26137920 in words is "twenty-six million, one hundred thirty-seven thousand, nine hundred twenty".