25456680 has 144 divisors (see below), whose sum is σ = 86797620. Its totient is φ = 6718464.

The previous prime is 25456661. The next prime is 25456687. The reversal of 25456680 is 8665452.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 236196 = 5022^2 + 486^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25456687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262392 + ... + 262488.

Almost surely, 2^25456680 is an apocalyptic number.

25456680 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 25456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43398810).

25456680 is an abundant number, since it is smaller than the sum of its proper divisors (61340940).

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

25456680 is an frugal number, since it uses more digits than its factorization.

25456680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 25456680 is about 5045.4613267768. The cubic root of 25456680 is about 294.1714951133.

The spelling of 25456680 in words is "twenty-five million, four hundred fifty-six thousand, six hundred eighty".