25665000 has 160 divisors (see below), whose sum is σ = 84348000. Its totient is φ = 6496000.

The previous prime is 25664983. The next prime is 25665041. The reversal of 25665000 is 56652.

25665000 = T₅ + T₆ + ... + T₅₃₅.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434971 + ... + 435029.

It is an arithmetic number, because the mean of its divisors is an integer number (527175).

Almost surely, 2^25665000 is an apocalyptic number.

25665000 is a gapful number since it is divisible by the number (20) 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 25665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42174000).

25665000 is an abundant number, since it is smaller than the sum of its proper divisors (58683000).

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

25665000 is a wasteful number, since it uses less digits than its factorization.

25665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 25665000 is about 5066.0635605961. The cubic root of 25665000 is about 294.9717487070.

It can be divided in two parts, 256 and 65000, that added together give a palindrome (65256).

The spelling of 25665000 in words is "twenty-five million, six hundred sixty-five thousand".