25733568 has 112 divisors (see below), whose sum is σ = 79881984. Its totient is φ = 7157760.

The previous prime is 25733507. The next prime is 25733579. The reversal of 25733568 is 86533752.

It is a tau number, because it is divible by the number of its divisors (112).

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, 54871 + ... + 55337.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^25733568 is an apocalyptic number.

25733568 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 25733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

25733568 is an abundant number, since it is smaller than the sum of its proper divisors (54148416).

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

25733568 is a wasteful number, since it uses less digits than its factorization.

25733568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 25733568 is about 5072.8264310934. The cubic root of 25733568 is about 295.2342026013.

It can be divided in two parts, 257335 and 68, that added together give a triangular number (257403 = T₇₁₇).

The spelling of 25733568 in words is "twenty-five million, seven hundred thirty-three thousand, five hundred sixty-eight".