25973280 has 144 divisors (see below), whose sum is σ = 93936024. Its totient is φ = 6512640.

The previous prime is 25973237. The next prime is 25973309. The reversal of 25973280 is 8237952.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24561936 + 1411344 = 4956^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×25973280² = 1349222547916800, which contains 22 as substring.

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

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, 23950 + ... + 25010.

Almost surely, 2^25973280 is an apocalyptic number.

25973280 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 25973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46968012).

25973280 is an abundant number, since it is smaller than the sum of its proper divisors (67962744).

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

25973280 is a wasteful number, since it uses less digits than its factorization.

25973280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 25973280 is about 5096.3987285141. The cubic root of 25973280 is about 296.1480875752.

The spelling of 25973280 in words is "twenty-five million, nine hundred seventy-three thousand, two hundred eighty".