25974144 has 96 divisors (see below), whose sum is σ = 85447440. Its totient is φ = 7418880.

The previous prime is 25974131. The next prime is 25974149. The reversal of 25974144 is 44147952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 25974099 and 25974108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25974149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6454 + ... + 9674.

Almost surely, 2^25974144 is an apocalyptic number.

25974144 is a gapful number since it is divisible by the number (24) 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 25974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42723720).

25974144 is an abundant number, since it is smaller than the sum of its proper divisors (59473296).

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

25974144 is a wasteful number, since it uses less digits than its factorization.

25974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3233 counting only the distinct ones).

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

The square root of 25974144 is about 5096.4834935473. The cubic root of 25974144 is about 296.1513713231.

It can be divided in two parts, 25 and 974144, that added together give a square (974169 = 987²).

The spelling of 25974144 in words is "twenty-five million, nine hundred seventy-four thousand, one hundred forty-four".