26964925 has 24 divisors (see below), whose sum is σ = 37263240. Its totient is φ = 19219200.

The previous prime is 26964923. The next prime is 26964929. The reversal of 26964925 is 52946962.

It can be written as a sum of positive squares in 12 ways, for example, as 10876804 + 16088121 = 3298^2 + 4011^2 .

It is not a de Polignac number, because 26964925 - 2¹ = 26964923 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26964923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7995 + ... + 10855.

It is an arithmetic number, because the mean of its divisors is an integer number (1552635).

Almost surely, 2^26964925 is an apocalyptic number.

26964925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26964925 is a deficient number, since it is larger than the sum of its proper divisors (10298315).

26964925 is a wasteful number, since it uses less digits than its factorization.

26964925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2908 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 26964925 is about 5192.7762324213. The cubic root of 26964925 is about 299.8700362988.

It can be divided in two parts, 26964 and 925, that added together give a square (27889 = 167²).

The spelling of 26964925 in words is "twenty-six million, nine hundred sixty-four thousand, nine hundred twenty-five".