25966080 has 360 divisors, whose sum is σ = 109158192. Its totient is φ = 5677056.

The previous prime is 25966069. The next prime is 25966091. The reversal of 25966080 is 8066952.

25966080 is a `hidden beast` number, since 2 + 596 + 60 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25966069) and next prime (25966091).

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128949 + ... + 1128971.

Almost surely, 2^25966080 is an apocalyptic number.

25966080 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 25966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54579096).

25966080 is an abundant number, since it is smaller than the sum of its proper divisors (83192112).

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

25966080 is a wasteful number, since it uses less digits than its factorization.

25966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 25966080 is about 5095.6922984026. The cubic root of 25966080 is about 296.1207201770.

The spelling of 25966080 in words is "twenty-five million, nine hundred sixty-six thousand, eighty".