26949520 has 40 divisors (see below), whose sum is σ = 67480056. Its totient is φ = 9950208.

The previous prime is 26949499. The next prime is 26949523. The reversal of 26949520 is 2594962.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 26050816 = 948^2 + 5104^2 .

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

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 26949520.

It is not an unprimeable number, because it can be changed into a prime (26949523) by changing a digit.

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, 11917 + ... + 13996.

Almost surely, 2^26949520 is an apocalyptic number.

26949520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26949520 is an abundant number, since it is smaller than the sum of its proper divisors (40530536).

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

26949520 is a wasteful number, since it uses less digits than its factorization.

26949520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25939 (or 25933 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 26949520 is about 5191.2927099134. The cubic root of 26949520 is about 299.8129203987.

The spelling of 26949520 in words is "twenty-six million, nine hundred forty-nine thousand, five hundred twenty".