25962880 has 64 divisors (see below), whose sum is σ = 62791200. Its totient is φ = 10264576.

The previous prime is 25962869. The next prime is 25962889. The reversal of 25962880 is 8826952.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×25962880² = 1348142275788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25962889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72141 + ... + 72499.

Almost surely, 2^25962880 is an apocalyptic number.

25962880 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 25962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395600).

25962880 is an abundant number, since it is smaller than the sum of its proper divisors (36828320).

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

25962880 is a wasteful number, since it uses less digits than its factorization.

25962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 25962880 is about 5095.3782980266. The cubic root of 25962880 is about 296.1085552651.

It can be divided in two parts, 2596 and 2880, that added together give a square (5476 = 74²).

The spelling of 25962880 in words is "twenty-five million, nine hundred sixty-two thousand, eight hundred eighty".