25773984 has 96 divisors (see below), whose sum is σ = 78503040. Its totient is φ = 8211456.

The previous prime is 25773971. The next prime is 25773991. The reversal of 25773984 is 48937752.

25773984 is a `hidden beast` number, since 257 + 7 + 398 + 4 = 666.

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

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, 19224 + ... + 20520.

It is an arithmetic number, because the mean of its divisors is an integer number (817740).

Almost surely, 2^25773984 is an apocalyptic number.

25773984 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 25773984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39251520).

25773984 is an abundant number, since it is smaller than the sum of its proper divisors (52729056).

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

25773984 is a wasteful number, since it uses less digits than its factorization.

25773984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 25773984 is about 5076.8084462583. The cubic root of 25773984 is about 295.3886823358.

It can be divided in two parts, 2577 and 3984, that added together give a 8-th power (6561 = 3⁸).

The spelling of 25773984 in words is "twenty-five million, seven hundred seventy-three thousand, nine hundred eighty-four".