25743984 has 80 divisors (see below), whose sum is σ = 80494848. Its totient is φ = 6921216.

The previous prime is 25743973. The next prime is 25743997. The reversal of 25743984 is 48934752.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3459 + ... + 7965.

Almost surely, 2^25743984 is an apocalyptic number.

25743984 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 25743984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40247424).

25743984 is an abundant number, since it is smaller than the sum of its proper divisors (54750864).

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

25743984 is a wasteful number, since it uses less digits than its factorization.

25743984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4536 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 25743984 is about 5073.8529738257. The cubic root of 25743984 is about 295.2740305366.

The spelling of 25743984 in words is "twenty-five million, seven hundred forty-three thousand, nine hundred eighty-four".