25761456 has 120 divisors (see below), whose sum is σ = 86088240. Its totient is φ = 7354368.

The previous prime is 25761451. The next prime is 25761487. The reversal of 25761456 is 65416752.

It is a happy number.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 25761456.

It is not an unprimeable number, because it can be changed into a prime (25761451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20560 + ... + 21776.

It is an arithmetic number, because the mean of its divisors is an integer number (717402).

Almost surely, 2^25761456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25761456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43044120).

25761456 is an abundant number, since it is smaller than the sum of its proper divisors (60326784).

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

25761456 is a wasteful number, since it uses less digits than its factorization.

25761456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1229 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 25761456 is about 5075.5744502470. The cubic root of 25761456 is about 295.3408145691.

The spelling of 25761456 in words is "twenty-five million, seven hundred sixty-one thousand, four hundred fifty-six".