25717680 has 120 divisors (see below), whose sum is σ = 90181728. Its totient is φ = 6555648.

The previous prime is 25717673. The next prime is 25717709. The reversal of 25717680 is 8671752.

25717680 is a `hidden beast` number, since 2 + 571 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×25717680² = 1322798129164800, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 15784 + ... + 17336.

Almost surely, 2^25717680 is an apocalyptic number.

25717680 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 25717680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45090864).

25717680 is an abundant number, since it is smaller than the sum of its proper divisors (64464048).

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

25717680 is a wasteful number, since it uses less digits than its factorization.

25717680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 25717680 is about 5071.2601984122. The cubic root of 25717680 is about 295.1734305300.

The spelling of 25717680 in words is "twenty-five million, seven hundred seventeen thousand, six hundred eighty".