25814880 has 288 divisors, whose sum is σ = 108972864. Its totient is φ = 5419008.

The previous prime is 25814861. The next prime is 25814903. The reversal of 25814880 is 8841852.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130942 + ... + 131138.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 2^25814880 is an apocalyptic number.

25814880 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 25814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54486432).

25814880 is an abundant number, since it is smaller than the sum of its proper divisors (83157984).

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

25814880 is a wasteful number, since it uses less digits than its factorization.

25814880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 25814880 is about 5080.8345771143. The cubic root of 25814880 is about 295.5448324533.

The spelling of 25814880 in words is "twenty-five million, eight hundred fourteen thousand, eight hundred eighty".