25611360 has 96 divisors (see below), whose sum is σ = 81375840. Its totient is φ = 6770688.

The previous prime is 25611343. The next prime is 25611361. The reversal of 25611360 is 6311652.

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

It is a super-2 number, since 2×25611360² = 1311883522099200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25611360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25611361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109804 + ... + 110036.

It is an arithmetic number, because the mean of its divisors is an integer number (847665).

Almost surely, 2^25611360 is an apocalyptic number.

25611360 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 25611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40687920).

25611360 is an abundant number, since it is smaller than the sum of its proper divisors (55764480).

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

25611360 is a wasteful number, since it uses less digits than its factorization.

25611360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 25611360 is about 5060.7667403270. The cubic root of 25611360 is about 294.7661078172.

The spelling of 25611360 in words is "twenty-five million, six hundred eleven thousand, three hundred sixty".