25384968 has 128 divisors (see below), whose sum is σ = 81868800. Its totient is φ = 7138368.

The previous prime is 25384963. The next prime is 25384987. The reversal of 25384968 is 86948352.

It is a super-2 number, since 2×25384968² = 1288793200722048, which contains 22 as substring.

Its product of digits (414720) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25384963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155655 + ... + 155817.

It is an arithmetic number, because the mean of its divisors is an integer number (639600).

Almost surely, 2^25384968 is an apocalyptic number.

25384968 is a gapful number since it is divisible by the number (28) 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 25384968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40934400).

25384968 is an abundant number, since it is smaller than the sum of its proper divisors (56483832).

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

25384968 is a wasteful number, since it uses less digits than its factorization.

25384968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 25384968 is about 5038.3497298223. The cubic root of 25384968 is about 293.8950062407.

The spelling of 25384968 in words is "twenty-five million, three hundred eighty-four thousand, nine hundred sixty-eight".