25858720 has 48 divisors (see below), whose sum is σ = 63209160. Its totient is φ = 9985024.

The previous prime is 25858699. The next prime is 25858759. The reversal of 25858720 is 2785852.

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 11751184 = 3756^2 + 3428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25858720.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1854 + ... + 7426.

Almost surely, 2^25858720 is an apocalyptic number.

25858720 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 25858720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31604580).

25858720 is an abundant number, since it is smaller than the sum of its proper divisors (37350440).

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

25858720 is a wasteful number, since it uses less digits than its factorization.

25858720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 25858720 is about 5085.1469988585. The cubic root of 25858720 is about 295.7120403817.

It can be divided in two parts, 258 and 58720, that multiplied together give a triangular number (15149760 = T₅₅₀₄).

The spelling of 25858720 in words is "twenty-five million, eight hundred fifty-eight thousand, seven hundred twenty".