25271664 has 80 divisors (see below), whose sum is σ = 74352384. Its totient is φ = 7321600.

The previous prime is 25271657. The next prime is 25271671. The reversal of 25271664 is 46617252.

It is an interprime number because it is at equal distance from previous prime (25271657) and next prime (25271671).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 11104 + ... + 13184.

Almost surely, 2^25271664 is an apocalyptic number.

25271664 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 25271664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37176192).

25271664 is an abundant number, since it is smaller than the sum of its proper divisors (49080720).

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

25271664 is a wasteful number, since it uses less digits than its factorization.

25271664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2120 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 25271664 is about 5027.0929969516. The cubic root of 25271664 is about 293.4570942411.

The spelling of 25271664 in words is "twenty-five million, two hundred seventy-one thousand, six hundred sixty-four".