25967700 has 216 divisors, whose sum is σ = 92348256. Its totient is φ = 6048000.

The previous prime is 25967671. The next prime is 25967717. The reversal of 25967700 is 776952.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 425670 + ... + 425730.

Almost surely, 2^25967700 is an apocalyptic number.

25967700 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 25967700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46174128).

25967700 is an abundant number, since it is smaller than the sum of its proper divisors (66380556).

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

25967700 is a wasteful number, since it uses less digits than its factorization.

25967700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 25967700 is about 5095.8512537161. The cubic root of 25967700 is about 296.1268782827.

It can be divided in two parts, 2596 and 7700, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 25967700 in words is "twenty-five million, nine hundred sixty-seven thousand, seven hundred".