25346880 has 168 divisors, whose sum is σ = 94027752. Its totient is φ = 6230016.

The previous prime is 25346873. The next prime is 25346891. The reversal of 25346880 is 8864352.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 19927296 = 2328^2 + 4464^2 .

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 23 ways as a sum of consecutive naturals, for example, 37102 + ... + 37778.

It is an arithmetic number, because the mean of its divisors is an integer number (559689).

Almost surely, 2^25346880 is an apocalyptic number.

25346880 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 25346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47013876).

25346880 is an abundant number, since it is smaller than the sum of its proper divisors (68680872).

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

25346880 is a wasteful number, since it uses less digits than its factorization.

25346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 25346880 is about 5034.5685018679. The cubic root of 25346880 is about 293.7479444552.

The spelling of 25346880 in words is "twenty-five million, three hundred forty-six thousand, eight hundred eighty".