26681625 has 48 divisors (see below), whose sum is σ = 49475088. Its totient is φ = 13824000.

The previous prime is 26681621. The next prime is 26681639. The reversal of 26681625 is 52618662.

26681625 is a `hidden beast` number, since 26 + 6 + 8 + 1 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 549081 + 26132544 = 741^2 + 5112^2 .

It is not a de Polignac number, because 26681625 - 2² = 26681621 is a prime.

It is a super-2 number, since 2×26681625² = 1423818225281250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26681625.

It is not an unprimeable number, because it can be changed into a prime (26681621) 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 47 ways as a sum of consecutive naturals, for example, 41305 + ... + 41945.

It is an arithmetic number, because the mean of its divisors is an integer number (1030731).

Almost surely, 2^26681625 is an apocalyptic number.

26681625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26681625 is a deficient number, since it is larger than the sum of its proper divisors (22793463).

26681625 is a wasteful number, since it uses less digits than its factorization.

26681625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 686 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 26681625 is about 5165.4259262911. The cubic root of 26681625 is about 298.8161679504.

The spelling of 26681625 in words is "twenty-six million, six hundred eighty-one thousand, six hundred twenty-five".