25877664 has 96 divisors (see below), whose sum is σ = 76870080. Its totient is φ = 8467200.

The previous prime is 25877659. The next prime is 25877669. The reversal of 25877664 is 46677852.

25877664 is a `hidden beast` number, since 2 + 587 + 7 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (25877659) and next prime (25877669).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (25877669) 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, 52459 + ... + 52949.

It is an arithmetic number, because the mean of its divisors is an integer number (800730).

Almost surely, 2^25877664 is an apocalyptic number.

25877664 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 25877664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435040).

25877664 is an abundant number, since it is smaller than the sum of its proper divisors (50992416).

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

25877664 is a wasteful number, since it uses less digits than its factorization.

25877664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 25877664 is about 5087.0093375185. The cubic root of 25877664 is about 295.7842352604.

It can be divided in two parts, 258776 and 64, that added together give a triangular number (258840 = T₇₁₉).

The spelling of 25877664 in words is "twenty-five million, eight hundred seventy-seven thousand, six hundred sixty-four".