25893672 has 64 divisors (see below), whose sum is σ = 74956800. Its totient is φ = 7300800.

The previous prime is 25893661. The next prime is 25893677. The reversal of 25893672 is 27639852.

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

It is not an unprimeable number, because it can be changed into a prime (25893677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12297 + ... + 14247.

It is an arithmetic number, because the mean of its divisors is an integer number (1171200).

Almost surely, 2^25893672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25893672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37478400).

25893672 is an abundant number, since it is smaller than the sum of its proper divisors (49063128).

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

25893672 is a wasteful number, since it uses less digits than its factorization.

25893672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2042 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 25893672 is about 5088.5825138245. The cubic root of 25893672 is about 295.8452136912.

It can be divided in two parts, 25893 and 672, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 25893672 in words is "twenty-five million, eight hundred ninety-three thousand, six hundred seventy-two".