25714080 has 144 divisors (see below), whose sum is σ = 100324224. Its totient is φ = 5875200.

The previous prime is 25714079. The next prime is 25714099. The reversal of 25714080 is 8041752.

25714080 is a `hidden beast` number, since 257 + 1 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×25714080² = 1322427820492800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8805 + ... + 11355.

It is an arithmetic number, because the mean of its divisors is an integer number (696696).

Almost surely, 2^25714080 is an apocalyptic number.

25714080 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 25714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50162112).

25714080 is an abundant number, since it is smaller than the sum of its proper divisors (74610144).

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

25714080 is a wasteful number, since it uses less digits than its factorization.

25714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 25714080 is about 5070.9052446284. The cubic root of 25714080 is about 295.1596569452.

The spelling of 25714080 in words is "twenty-five million, seven hundred fourteen thousand, eighty".