25738830 has 64 divisors (see below), whose sum is σ = 73926720. Its totient is φ = 6334848.

The previous prime is 25738829. The next prime is 25738831. The reversal of 25738830 is 3883752.

25738830 is a `hidden beast` number, since 2 + 573 + 8 + 83 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25738829) and next prime (25738831).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25738831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157 + ... + 7176.

It is an arithmetic number, because the mean of its divisors is an integer number (1155105).

Almost surely, 2^25738830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25738830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36963360).

25738830 is an abundant number, since it is smaller than the sum of its proper divisors (48187890).

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

25738830 is a wasteful number, since it uses less digits than its factorization.

25738830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 25738830 is about 5073.3450503588. The cubic root of 25738830 is about 295.2543243932.

The spelling of 25738830 in words is "twenty-five million, seven hundred thirty-eight thousand, eight hundred thirty".