25812864 has 256 divisors, whose sum is σ = 95961600. Its totient is φ = 6635520.

The previous prime is 25812859. The next prime is 25812869. The reversal of 25812864 is 46821852.

It is an interprime number because it is at equal distance from previous prime (25812859) and next prime (25812869).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30720) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25812869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266064 + ... + 266160.

It is an arithmetic number, because the mean of its divisors is an integer number (374850).

Almost surely, 2^25812864 is an apocalyptic number.

25812864 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 25812864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

25812864 is an abundant number, since it is smaller than the sum of its proper divisors (70148736).

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

25812864 is a wasteful number, since it uses less digits than its factorization.

25812864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 25812864 is about 5080.6361806372. The cubic root of 25812864 is about 295.5371387783.

It can be divided in two parts, 2581 and 2864, that added together give a palindrome (5445).

The spelling of 25812864 in words is "twenty-five million, eight hundred twelve thousand, eight hundred sixty-four".