25279680 has 112 divisors (see below), whose sum is σ = 85039200. Its totient is φ = 6340608.

The previous prime is 25279673. The next prime is 25279687. The reversal of 25279680 is 8697252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25279673) and next prime (25279687).

It is a super-3 number, since 3×25279680³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25279687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15546 + ... + 17094.

Almost surely, 2^25279680 is an apocalyptic number.

25279680 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 25279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42519600).

25279680 is an abundant number, since it is smaller than the sum of its proper divisors (59759520).

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

25279680 is a wasteful number, since it uses less digits than its factorization.

25279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 25279680 is about 5027.8902135985. The cubic root of 25279680 is about 293.4881184928.

The spelling of 25279680 in words is "twenty-five million, two hundred seventy-nine thousand, six hundred eighty".