25153664 has 32 divisors (see below), whose sum is σ = 51343740. Its totient is φ = 12267520.

The previous prime is 25153657. The next prime is 25153669. The reversal of 25153664 is 46635152.

It can be written as a sum of positive squares in 2 ways, for example, as 25000000 + 153664 = 5000^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 25153664.

It is not an unprimeable number, because it can be changed into a prime (25153669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2852 + ... + 7644.

Almost surely, 2^25153664 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 25153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25671870).

25153664 is an abundant number, since it is smaller than the sum of its proper divisors (26190076).

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

25153664 is an equidigital number, since it uses as much as digits as its factorization.

25153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4836 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 25153664 is about 5015.3428596657. The cubic root of 25153664 is about 292.9996389004. Note that the first 3 decimals are identical.

It can be divided in two parts, 25 and 153664, that multiplied together give a square (3841600 = 1960²).

The spelling of 25153664 in words is "twenty-five million, one hundred fifty-three thousand, six hundred sixty-four".